A study by Holder, Plikaytis, and Carlone (1996) compared two laboratory protocols designed to measure antibody levels
Question:
a. Should the factor Blocking Step be considered a fixed or random factor? Explain.
b. State the subject-specific scalar regression model for this analysis. (For these data, the subjects are the samples.)
c. State the subject-specific matrix model for this analysis.
d. State the null hypothesis that there is no significant effect of Blocking Step in terms of a statement about the parameters in the regression model given in part (b).
e. Based on a comparison of sample means, does there appear to be a meaningful effect of the Blocking Step factor? Explain.
f. Below are given computer results for a repeated measures analysis of these data. Based on these results, is there a significant effect of the Blocking Step factor? Explain by specifying the F statistic, its degrees of freedom, and its P-value appropriate for these data.
Antibody yields for two protocols measuring
Streptococcus pneumoniae serogroup 4
Specimen (or Sample) Number
g. Use the computer output to test whether there is a significant interaction effect between Specimen (or Samples) and Blocking Step. If such a test is nonsignificant, why might you be concerned about the model that has been fit, and how might you redo the analysis?
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Related Book For
Applied Regression Analysis and Other Multivariable Methods
ISBN: 978-1285051086
5th edition
Authors: David G. Kleinbaum, Lawrence L. Kupper, Azhar Nizam, Eli S. Rosenberg
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