Purpose of calculating Ta, Tb & R Square in Linearity Study

  • Thread starter Prasanna Venkatesh
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Prasanna Venkatesh

#1
Dear all,

Can you please explain what is the purpose of calculating Ta, Tb & R Square in linearity study & how to conclude the study by seeing the Graphical analysis chart. I could not able to understand this calculation. Please help me.
 
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#2
ta = the test statistic for the null hypothesis that the slope = 0.
tb = the test statistic for the null hypothesis that the intercept = 0.
R^2 is the percentage of variation explained by the linearity.

Ideally, both ta and tb are not statistically different from zero, and R^2 is relatively low. If they are statistically significant, then there is a linearity issue with the gage.

Regarding the graphical analysis, the Bias = 0 line should fall within the 95% CI bands for the regression line. If it does not there is a linearity problem with the gage.
 
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