Slide title minimum 48 pt Slide subtitle minimum 30 pt ERICSSON MEETS SMID ANALYSE April, 2011. - презентация

1 Slide title minimum 48 pt Slide subtitle minimum 30 pt ERICSSON MEETS SMID ANALYSE April, 2011

2 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 2 (49) Agenda 4 th April –Ericsson presentation –Statistical tools in manufacturing –DMAIC/IDDOV 7 th April –Define –Measure 11 th April –Analyze 14 th April –Implement –Control

3 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 3 (49) DMAIC Chart Comprehensive Light D efine Understand the task and its financial impact. Task selection matrix SMART review Stakeholder map Risk Management SWOT analysis Process map VOC and break down to CTQs 7MT Affinity diagram M easure Develop and execute an appropriate data collection method. Process map Data collection table Pareto diagram 7QCT Measurement system analysis Sampling technique SIPOC Gauge R&R, Gauge attribute Capability analysis Benchmark Tagushi loss functions A nalyze Find the root causes. Fishbone diagram Correlation analysis 7QCT Hypothesis testing Regression- analysis DOE Anova 7MT Data transformations Simulations I mprove Generate and implement solutions. FMEA risk analysis Process map Poka-Yoke Hypothesis testing Loss functions Cost/Benefit selection Pugh Concept Selection C ontrol Ensure that the results will last. Documentation, standardization and training 7QCT SPC Business case verification

4 Slide title minimum 48 pt Slide subtitle minimum 30 pt CAPABILITY

5 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 5 (49) The ability of a given process to produce units / results within the process tolerance /specification limits LTL UTL Definition

6 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 6 (49) Capability Capability is a measure of how good / capable process is. The measure is related to defined demands (customer demands or tolerance limits). Can be used to calculate estimated failure rate. There are different ways to calculate capability. The most common are called Cp and Cpk.

7 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 7 (49) Cp = 1 Cp = 2 Cpk = 1 Cpk = 0,5 Cpk = 1 Cpk = 2 Cp is an index that measures how well the process variation can fit within the given tolerance limits Cpk measures how close the mean value is to the closest tolerance limit, using the variation as a guide (standard deviation). CAPABILITY how do Cp and Cpk work?

8 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 8 (49) ,3% ,4% ,7% ,999997% Cpk=0,33 Cpk=0,67 Cpk=1,0 Cpk=2,0 Capability and Yield

9 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 9 (49) Supplier ASupplier B Calculate the Cp and Cpk for supplier A and B Example – PCB suppliers

10 Slide title minimum 48 pt Slide subtitle minimum 30 pt CONFIDENCE INTERVAL

11 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 11 (49) X An interval estimate of a population parameter, usually stated as a percentage, often 95% or 99% Confidence Interval

12 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 12 (49) Is the average calculated in Sample 2 representative for the complete population? Confidence interval should be used Every time a sample is made! –What is the mean? –What is the standard deviation? –What yield do we have? Understand how big risk you take when you make a decision. XUSLLSL Sample 1 Sample 2 Sample 3 Sample 4 When do we use Confidence Interval?

13 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 13 (49) Confidence interval 20 samples from the same process. (Random seed) 95% of the 20 samples will have the same average as total process.

14 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 14 (49) x +/- s t * n Normally distributed data: AverageStandard deviation Average Standard deviation S * n-1 S * n-1 t = from t-table s = Sample standard deviation Chi-square table x= Sample average n = Sample size Chi-square table Confidence interval, continuous data

15 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 15 (49) Normal approximation The simplest and most commonly used formula for a binomial confidence interval relies on approximating the binomial distribution with a normal distribution. = estimated proportion z 1 α / 2 = value from t-table n = sample size. Confidence interval, discrete data (Yield)

16 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 16 (49) Compare performance?

17 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 17 (49) High volume vs. low volume

18 Slide title minimum 48 pt Slide subtitle minimum 30 pt CORRELATION REGRESSION

19 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 19 (49) Relations The Scatter plot is a useful tool in understanding the relationship between two variables. One variable is plotted on the X-axis and the other on the Y-axis, giving a graph as below. This example indicates that test point 1 correlates with test point 2. Further tools could be used to prove or disprove this.

20 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 20 (49) Correlation Correlation is a technique for investigating the relationship between two quantitative, continuous variables. Correlation is the degree or extent of the relationship between two variables. –If the value of one variable increases when the value of the other increases, they are said to be positively correlated. –If the value of one variable decreases when the value other variable is increasing it is said to be negatively correlated. –If one variable does not affect the other they are considered to not be correlated. The correlation coefficient quantifies the degree of linear association between two variables. It is typically denoted by r and will have a value ranging between -1 and positive 1.

21 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 21 (49) Examples Positive correlation r = 0,7 Negative correlation r = - 0,7 No correlation r = 0 Non-linear relation

22 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 22 (49) Correlation coefficient r x i = value of an individual observation, variable x = mean value of the observations for variable x y i = value of an individual observation, variable y = mean value of the observations for variable y

23 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 23 (49) Correlation coefficient r How to interpret the correlation coefficient r : –Perfect correlation when r = 1.0 or 1 = -1,0 –Correlation when r > 0,5 or r < -0,5 –No or weak correlation whenr = -0,5 till 0,5 This method to calculate the correlation coefficient is only valid for linear relations. The method assumes normal distribution for all variables. 0,5 or r < -0,5 –No or weak correlation whenr = -0,5 till 0,5 This method to calculate the correlation coefficient is only valid for linear relations. The method assumes normal distribution for all variables.">

24 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 24 (49) Correlation - analysis Correlation coefficient r p-value

25 Slide title minimum 48 pt Slide subtitle minimum 30 pt REGRESSION

26 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 26 (49) Correlation

27 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 27 (49) Definition The data should empirically quantify, through a mathematical model, the relationship that exists between the response variable and influencing factors

28 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 28 (49) What is regression analysis? Is there a relation between Gain, Temperature and Voltage? If it is, can it be describe in a formula? Y=f(x) What is best fit of a line between Gain and Voltage?

29 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 29 (49) Y = ß 0 + ß 1 X + ε Where : Y = Response ( dependent ) variable. ß 0 = INTERCEPT. The value of Y, when X is zero. ß 1 = SLOPE. The amount by which Y changes when X changes. X = The predictor ( independent ) variable. ε = The random error, which accounts for all factors not included in the model. Simple Linear Regression

30 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 30 (49) The Least Squares Regression Line is the line that is as close as possible to all the points on the plot. Its the line which is the sum of the squared vertical distances from each point is minimised. The Least Squares Regression Line The Line of Best Fit

31 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 31 (49) The theory behind it The Least Squares Regression Line is the line that is as close as possible to all the points on the plot. Its the line which is the sum of the squared vertical distances from each point is minimised. (That is, minimising the residual)

32 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 32 (49) Collecting data Measurement of X is assumed to be precise. In regression it is assumed that the random variation occurs in Y as X is changed. The regression model will only be a predictor of behaviour within the data range, I.e. extrapolation is usually not allowed As a rule of thumb- should have at least 30 data points to perform a regression analysis

33 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 33 (49) Step by step – One Variable 1.Graph the Y vs. X data before running regression – 1.Are there any outliers or unusual observations 2.you need to see what the right model should be first (linear, quadratic, cubic etc.) 2.Run regression 3.Look at p-values, s, R2, R2adj, SS and MS to evaluate the model mathematically. 4.(Look at Residuals vs. Fits plots to focus on potential issues with your model. Use the Residuals graphs to diagnose goodness of fit graphically. (How robust is you model to the inclusion/exclusion of unusual observations?)) 5.(Use Fitted Line Plot to create a graph of the regression line through the data and define both Confidence Intervals and Prediction Intervals for the model.)

34 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 34 (49) Step by step – MULTIPLE Variables 1.Understand your data Generate a matrix plot to compare all variables with each other Determine possible models (linear, quadratic terms etc) Determine possible inter-correlations amongst predictor variables Detect any possible outliers in the data set, and determine if there is a special cause. 2. Identify the terms to build into a regression model use process knowledge and your interpretation of the matrix plot reduce possible inter-correlation effects by centring the data, or standardizing independent variables or removing variables. 3.Run the regression analysis and check the analysis output for significant predictor variables (p-values) proportion of variation explained (R2adj) the mean standard error of the model (s) 4.Inter-correlations that may cause model instability (VIFs > 5) (Examine residual plots) Residuals should be normally distributed with mean = 0 There should be no pattern over fits or run order Remove any legitimate outliers (unusual points that can be explained by a justifiable special cause) and repeat step 3 with a reduced data set. 5.Examine model for insignificant terms Reiterate steps 2-4 to obtain the best model The criteria for best model vary but should include MSE and R2adj 5) (Examine residual plots) Residuals should be normally distributed with mean = 0 There should be no pattern over fits or run order Remove any legitimate outliers (unusual points that can be explained by a justifiable special cause) and repeat step 3 with a reduced data set. 5.Examine model for insignificant terms Reiterate steps 2-4 to obtain the best model The criteria for best model vary but should include MSE and R2adj">

35 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 35 (49) Exercise Lead-time regression In the process (next slide) a lead-time has been measured. The number of units in buffer and the number of times one unit has been tested i process 2. The process 2 are used more then one time because of yield problems. Make a model of how the lead-time are affected of buffer size and number of test in process 2. File: Leadtime regression.mpj

36 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 36 (49) StartProcess 1Process 2 Repair BufferEnd Lead time Process Lead-time

37 Slide title minimum 48 pt Slide subtitle minimum 30 pt MEASUREMENT SYSTEM ANALYSIS GAGE R&R

38 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 38 (49) Is this measure correct…?

39 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 39 (49) How do we measure measurement systems? Proactive activities: Selection / verification of instrument regarding accuracy and precision Analyze of precision: Gauge R&R SPC Analyze/Control of accuracy: Calibration Golden unit SPC AccuracyPrecision Measurement system variation - Bias - Stability - Linearity - Repeatability - Reproducibility - Stability - Linearity

40 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 40 (49) Measurement uncertainty Gauge R&R (Repeatability & Reproducibility) study A selection of at least 5 production parts measured at least 2 times by at least 2 different appraisers (operators, test stations etc) R&R is calculated and compared to the total variation (including part to part variation) and total tolerance (specification limits) to assess if the measurement system is acceptable

41 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 41 (49) Whats an acceptable level of Gauge Variation? Total Process Variation (part to part variation) Voice of the customer (Total Tolerance) Total Gauge R&R LSL USL

42 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 42 (49) formulas to remember… total = product measurement system 222 Total variation consist of: Product variation and Measurement system variation Measurement system variation consist of: Repeatability and Reproducibility measurement system total %100 * (Total) Gauge R&R = Guidelines: 30% not acceptable measurement system = repeatibility reproducibility 222

43 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 43 (49) Gage R&R Analyze - Minitab Example One Yellow Belt in CDU production wants to check for variation in the test stations. The production line has 3 test stations and he wants to do an Gage R&R analyze. 3 approved CDU are tested 3 times in all 3 test stations. The test program consists of 2 test points

44 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 44 (49) Gage R&R Analyses - Crossed 1) Stat> Quality Tools> Gage Study> Gage R&R study (Crossed)... 2) Mark columns for: Serial number Test stations data Quality Tools> Gage Study> Gage R&R study (Crossed)... 2) Mark columns for: Serial number Test stations data">

45 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 45 (49) Gage R&R Analyses - Crossed Session Window Result for all parts. Number of distinct Categories. (se next slide) Should be greater then 4 for a good measurement system standarddeviation R&R as a percentage of total variation. Should bee less then 30%

46 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 46 (49) Whats an acceptable level of Gauge resolution ? The resolution, or discrimination, of a gauge is important in assessing its ability to detect even small changes in the measured characteristic - particularly for process control. n Minitab calculates the Number of Distinct Categories that the gauge can discriminate within the part to part variation. 1 Data Category - Unacceptable 2-4 Categories - Marginal 5 or more categories - Ideal

47 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 47 (49) Gage R&R Analyses - Crossed Bar chart of variation. Here we can see were the variation comes from. In this case, measurement system and bad repeatability Range chart by operator should be in-control. This indicates that only common cause variation was operating on the measurement system. Special causes would be identified as out of control and should be investigated. Xbar Chart by Operator plots the average results for each part by each operator, against control limits that are based on the GR&R variation. So, if the part-to-part variation is large in comparison to the GR&R variation – then the majority of the points should be outside of the control lines. The operator*parts interaction chart helps to identify if any particular part number contributed significantly to the reproducibility variation. A plot of the results by operator helps to identify if any particular operator was measuring with much greater variation, or consistently different results, than the operators. The line indicates variation due to reproducibility. A plot of the results by part number gives an indication of the part to part variation in the study. The range of readings for each part can be seen, and should be small in comparison to the variation of the line.

48 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 48 (49) Rules to remember Always randomise the runs Use the actual gauge, appraisers and production parts. Ensure the parts represent the full range of output. Complete the study in the production environment. Label the parts discreetly & avoid the appraiser seeing the part labels Have a facilitator who records the results Check for out of control records on a range chart. Be aware of within part variation

49 Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./ :; UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝–… ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Do not add objects or text in the footer area 04. Analyze | Ericsson Confidential | | Page 49 (49)