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All issues Volume 8 (2017) Int. J. Metrol. Qual. Eng., 8 (2017) 28 Full HTML
Open Access

Table 1

Simulation results and theoretically derived properties.

Group Simulation results Derived properties
  Svar[]a Sbias[]b SE[MSE]c Dvar[]d Dbias[]e DE[MSE]f
SG1-1 (0.0017625)2 −0.0002535 5.013210 (0.0017788)2 −0.0002531 5.0625
SG1-2 (0.0017582)2 −0.0002515 5.012360 (0.0017788)2 −0.0002531 5.0625
SG1-3 (0.0017689)2 −0.0002360 4.978110 (0.0017788)2 −0.0002531 5.0625
SG1-4 (0.0017622)2 −0.0002648 5.030650 (0.0017788)2 −0.0002531 5.0625
SG1-5 (0.0017532)2 −0.0002541 5.017950 (0.0017788)2 −0.0002531 5.0625
 
SG2-1 (0.0011780)2 −0.0001035 2.233260 (0.0011859)2 −0.0001125 2.2500
SG2-2 (0.0011789)2 −0.0001180 2.236960 (0.0011859)2 −0.0001125 2.2500
SG2-3 (0.0011828)2 −0.0001127 2.245950 (0.0011859)2 −0.0001125 2.2500
SG2-4 (0.0011804)2 −0.0001179 2.239320 (0.0011859)2 −0.0001125 2.2500
SG2-5 (0.0011828)2 −0.0001073 2.221680 (0.0011859)2 −0.0001125 2.2500
 
SG3-1 (0.0004773)2 −0.0000176 0.358494 (0.0004734)2 −0.0000180 0.3600
SG3-2 (0.0004726)2 −0.0000162 0.359327 (0.0004734)2 −0.0000180 0.3600
SG3-3 (0.0004717)2 −0.0000197 0.359700 (0.0004734)2 −0.0000180 0.3600
SG3-4 (0.0004740)2 −0.0000182 0.358222 (0.0004734)2 −0.0000180 0.3600
SG3-5 (0.0004752)2 −0.0000162 0.360404 (0.0004734)2 −0.0000180 0.3600
 
SG4-1 (0.0002386)2 −0.0000035 0.090080 (0.0002372)2 −0.0000035 0.0900
SG4-2 (0.0002387)2 −0.0000042 0.090021 (0.0002372)2 −0.0000035 0.0900
SG4-3 (0.0002385)2 −0.0000042 0.090132 (0.0002372)2 −0.0000035 0.0900
SG4-4 (0.0002369)2 −0.0000052 0.089894 (0.0002372)2 −0.0000035 0.0900
SG4-5 (0.0002374)2 −0.0000052 0.090035 (0.0002372)2 −0.0000035 0.0900
 
SG5-1 (0.0001188)2 −0.0000012 0.022492 (0.0001186)2 −0.0000011 0.0225
SG5-2 (0.0001186)2 −0.0000011 0.022493 (0.0001186)2 −0.0000011 0.0225
SG5-3 (0.0001182)2 −0.0000008 0.022422 (0.0001186)2 −0.0000011 0.0225
SG5-4 (0.0001189)2 −0.0000010 0.022408 (0.0001186)2 −0.0000011 0.0225
SG5-5 (0.0001190)2 −0.0000019 0.022542 (0.0001186)2 −0.0000011 0.0225
a

Svar[] is the variance of observed through each simulation. The square of the standard deviation of the 50 000 slopes obtained from the 50 000 regression line fittings is treated as Svar[].

b

Sbias[] is the mean of the 50 000 slopes subtracted by the slope of the population regression line.

c

SE[MSE] is the mean of the 50 000 MSEs obtained from the 50 000 regression line fittings.

d

Dvar[] is the variance of derived using equation (1) based on the intended mean data points and the intended variance .

e

Dbias[] is the bias in derived using equation (6).

f

DE[MSE] is the expectation of MSE derived using equation (8).

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