A researcher conducted a study to examine learning differenc

A researcher conducted a study to examine learning differences between 3 groups of animals. Use an independent-measures ANOVA to determine the F(observed) value with the following information:

Vervet: n = 4, M = 9, T = 36, SS = 6
Rhesus: n = 10, M = 14, T = 140, SS = 28
Baboon: n = 6, M =4, T = 24, SS = 38

N = 20, G = 200,

?X² = 2452

F = 4.86

F = 14.86

F = 24.86

F = 44.86

Solution

SST=sum X^2-(sum X)^2/N=2452-200^2/20=452

SS between=(sum X1)^2/N1+(sum X2)^2/N2+(sum X3)^2/N2-(sum X)^2/N=36^2/4+140^2/10+24^2/6-200^2/20=380

SS within=SST-SS between=72

F=MS between/MS within=(SS between/(k-1))/(SS within/(N-k))=(380/2)/(72/17))=44.86