Question: Another approach to the data analysis is to use the eye, rather than the person, as the observational unit. For the 211 persons there were

Another approach to the data analysis is to use the eye, rather than the person, as the observational unit. For the 211 persons there were 422 measurements of refractive error: the accompanying table summarizes these measurements. The ANOVA of the 422 observations yields SS(between) = 258.97 and SS(within) = 5,143.9.

(a) Construct the ANOVA table and bracket the P-value for the F test. Compare with the P value obtained in Exercise 11.S.3. Which of the two P-values is of doubtful validity, and why?
(b) The mean refractive error for the sex-linked RP patients was -3.30. Calculate the standard error of this mean two ways: (i) regarding the person as the observational unit and using Spooled from the ANOVA of Exercise 11.S.3; (ii) regarding the eye as the observational unit and using Spooled from the ANOVA of this exercise. Which of these standard errors is of doubtful validity, and why?

Mean Number of refractive Group Autosomal dominant RP Autosomal recessive RP Sex-linked RP Isolate RP Total cyes 54 40 36 292 422 crror +0.0 0.83 -3.30 0,84

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