Engineering Statistics Handbook Episode 2 Part 14 pps

Exploratory Data Analysis1.4.. Background and Data Generation This data set was collected by Ron Dziuba of NIST over a 5-year period from 1980 to 1985.. The motivation for studying this

1 Exploratory Data Analysis

1.4 EDA Case Studies

1.4.2 Case Studies

1.4.2.7 Standard Resistor

1.4.2.7.1 Background and Data

Generation This data set was collected by Ron Dziuba of NIST over a 5-year period

from 1980 to 1985 The response variable is resistor values

The motivation for studying this data set is to illustrate data that violatethe assumptions of constant location and scale

This file can be read by Dataplot with the following commands:

SKIP 25COLUMN LIMITS 10 80READ DZIUBA1.DAT YCOLUMN LIMITS

Resulting

Data

The following are the data used for this case study

27.868027.892927.877327.853027.887627.872527.874327.887927.872827.874627.886327.871627.881827.887227.888527.894527.879727.862727.8870

27.889527.913827.893127.885227.878827.882727.893927.855827.881427.847927.847927.884827.880927.847927.861127.863027.867927.863727.898527.890027.857727.884827.886927.897627.861027.856727.841727.828027.855527.863927.870227.858227.860527.890027.875827.877427.900827.898827.889727.899027.895827.883027.896727.910527.902827.8977

27.895327.897027.919027.918027.899727.920427.923427.907227.915227.909127.888227.903527.926727.913827.895527.920327.923927.919927.964627.941127.934527.871227.914527.925927.931727.923927.924727.915027.944427.945727.916627.906627.908827.925527.931227.943927.921027.910227.908327.912127.911327.909127.923527.929127.925327.9092

27.911727.919427.903927.951527.914327.912427.912827.926027.933927.950027.953027.943027.940027.885027.935027.912027.926027.966027.928027.945027.939027.942927.920727.920527.920427.919827.924627.936627.923427.912527.903227.928527.956127.961627.953027.928027.906027.938027.931027.934727.933927.941027.939727.947227.923527.9315

27.936827.940327.952927.926327.934727.937127.912927.954927.942227.942327.975027.933927.962927.958727.950327.957327.951827.952727.958927.930027.962927.963027.966027.973027.966027.963027.957027.965027.952027.982027.956027.967027.952027.947027.972027.961027.943727.966027.958027.966027.970027.960027.966027.977027.911027.9690

27.969827.961627.937127.970027.926527.996427.984227.966727.961027.994327.961627.939727.979928.008627.970927.974127.967527.982627.967627.970327.978927.978627.972227.983128.004327.954827.987527.949527.954927.946927.974427.974427.944927.983727.958528.009627.976227.964127.985427.987727.983927.981727.984527.987727.988027.9822

27.983628.003027.967828.014627.994527.980527.978527.979127.981727.980527.978227.975327.979227.970427.979427.981427.979427.979527.988127.977227.979627.973627.977227.996027.979527.977927.982927.982927.981527.981127.977327.977827.972427.975627.969927.972427.966627.966627.973927.968427.986127.990127.987927.986527.987627.9814

27.984227.986827.983427.989227.986427.984327.983827.984727.986027.987227.986927.960227.985227.986027.983627.981327.962327.984327.980227.986327.981327.988127.985027.985027.983027.986627.988827.984127.986327.990327.996127.990527.994527.987827.992927.991427.991427.999728.000627.999928.000428.002028.002928.000828.004028.0078

28.006527.995928.007328.001728.004228.003628.005528.000728.006628.001127.996028.008327.997828.010828.008828.008828.013928.009228.009228.004928.011128.012028.009328.011628.010228.013928.011328.015828.015628.013728.023628.017128.022428.018428.019928.019028.020428.017028.018328.020128.018228.018328.017528.012728.021128.0057

28.018028.018328.014928.018528.018228.019228.021328.021628.016928.016228.016728.016728.016928.016928.016128.015228.017928.021528.019428.011528.017428.017828.020228.024028.019828.019428.017128.013428.012128.012128.014128.010128.011428.012228.012428.017128.016528.016628.015928.018128.020028.011628.014428.014128.011628.0107

28.016928.010528.013628.013828.011428.012228.012228.011628.002528.009728.006628.007228.006628.006828.006728.013028.009128.008828.009128.009128.011528.008728.012828.013928.009528.011528.010128.012128.011428.012128.012228.012128.016828.021228.021928.022128.020428.016928.014128.014228.014728.015928.016528.014428.018228.0155

28.015528.019228.020428.018528.024828.018528.022628.027128.029028.024028.030228.024328.028828.028728.030128.027328.031328.029328.030028.034428.030828.029128.028728.035828.030928.028628.030828.029128.038028.041128.042028.035928.036828.032728.036128.033428.030028.034728.035928.034428.037028.035528.037128.031828.039028.0390

28.039028.037628.037628.037728.034528.033328.042928.037928.040128.040128.042328.039328.038228.042428.038628.038628.037328.039728.041228.056528.041928.045628.042628.042328.039128.040328.038828.040828.045728.045528.046028.045628.046428.044228.041628.045128.043228.043428.044828.044828.037328.042928.039228.046928.044328.0356

28.047428.044628.034828.036828.041828.044528.053328.043928.047428.043528.041928.053828.053828.046328.049128.044128.041128.050728.045928.051928.055428.051228.050728.058228.047128.053928.053028.050228.042228.043128.039528.017728.042528.048428.069328.049028.045328.049428.052228.039328.044328.046528.045028.053928.056628.0585

28.048628.042728.054828.061628.029828.072628.069528.062928.050328.049328.053728.061328.064328.067828.056428.070328.064728.057928.063028.071628.058628.060728.060128.061128.060628.061128.006628.041228.055828.059028.075028.048328.059928.049028.049928.056528.061228.063428.062728.051928.055128.069628.058128.056828.057228.0529

28.042128.043228.021128.036328.043628.061928.057328.049928.034028.047428.053428.058928.046628.044828.057628.055828.052228.048028.044428.042928.062428.061028.046128.056428.073428.056528.050328.058128.051928.062528.058328.064528.064228.053528.051028.054228.067728.041628.067628.059628.063528.055828.062328.071828.058528.0552

28.068428.064628.059028.046528.059428.030328.053328.056128.058528.049728.058228.050728.056228.071528.046828.041128.058728.045628.070528.053428.055828.053628.055228.046128.059828.059828.065028.042328.044228.044928.066028.050628.065528.051228.040728.047528.041128.051228.103628.064128.057228.070028.057728.063728.053428.0461

28.070128.063128.057528.044428.059228.068428.059328.067728.051228.064428.066028.054228.076828.051528.057928.053828.052628.083328.063728.052928.053528.056128.073628.063528.060028.052028.069528.060828.060828.059028.029028.093928.061828.055128.075728.069828.071728.052928.064428.061328.075928.074528.073628.061128.073228.0782

28.068228.075628.085728.073928.084028.086228.072428.072728.075228.073228.070328.084928.079528.090228.087428.097128.063828.087728.075128.090428.097128.066128.071128.075428.051628.096128.068928.111028.106228.072628.114128.091328.098228.070328.065428.076028.072728.085028.087728.096728.118528.094528.083428.076428.112928.0797

28.070728.100828.097128.082628.085728.098428.086928.079528.087528.118428.074628.081628.087928.088828.092428.097928.070228.084728.091728.083428.082328.091728.077928.085228.086328.094228.080128.081728.092228.091428.086828.083228.088128.091028.088628.096128.085728.085928.108628.083828.092128.094528.083928.087728.080328.0928

28.088528.094028.085628.084928.095528.095528.084628.087128.087228.091728.093128.086528.090028.091528.096328.091728.095028.089828.090228.086728.084328.093928.090228.091128.090928.094928.086728.093228.089128.093228.088728.092528.092828.088328.094628.097728.091428.095928.092628.092328.095028.100628.092428.096328.089328.0956

28.098028.092828.095128.095828.091228.099028.091528.095728.097628.088828.092828.091028.090228.095028.099528.096528.097228.096328.094628.094228.099828.091128.104328.100228.099128.095928.099628.092628.100228.096128.098328.099728.095928.098828.102928.098928.100028.094428.097928.100528.101228.101328.099928.099128.105928.0961

28.098128.104528.104728.104228.114628.111328.105128.106528.106528.098528.100028.106628.104128.095428.1090

4-Plot of

Data

Interpretation The assumptions are addressed by the graphics shown above:

The run sequence plot (upper left) indicates significant shifts inboth location and variation Specifically, the location is

increasing with time The variability seems greater in the firstand last third of the data than it does in the middle third

The distributional plots, the histogram (lower left) and the

normal probability plot (lower right), are not interpreted sincethe randomness assumption is so clearly violated

However, discussions with the scientist revealed the following:

the drift with respect to location was expected