29. In a study of platelet production, 16 rats were put at an altitude of 15,000 feet, while another 16 were kept at sea level (Rand, K., Anderson, T., Lukis, G., and Creger, W., “Effect of hypoxia on platelet level in the rat,” Clinical Research, 18,

p. 178, 1970). Half of the rats in both groups had their spleens removed. The fibrinogen levels on day 21 are reported below.

(a) Test the hypothesis that there are no interactions.

(b) Test the hypothesis that there is no effect due to altitude.

(c) Test the hypothesis that there is no effect due to spleen removal. In all cases, use the 5 percent level of significance.
Suppose that μ, α1, . . . , αm, β1, . . . , βn and μ
, α
1, . . . , α
m , β
1, . . . , β
n are such that

Show that

for all i and j. This shows that the parameters μ, α1, . . . , αm, β1, . . . , βn in our representation of two factor ANOVA are uniquely determined

Transcribed Image Text:

Spleen Removed Normal Spleen Altitude 528 434 444 331 338 312 342 575 338 472 331 444 288 575 319 384 Sea Level 294 272 254 275 352 350 241 350 291 466 175 388 241 425 238 344