Question

10) (4) Several factors influence the size of the F-ratio (that is, Fos). Some factors influence the numerator and others influence the denominator. For each of the following, indicate (by circling your choice) whether the factor influences the numerator denominator of the F-ratio and determine whether the effect would be to increase the value of F (farther from zero) or decrease the value of F (closer to zero). In each case, assume that all other factors remain constant. a. (2) Increasing the difference among the sample (group) means... ... affects the numerator or denominator ... causes E to get bigger or Eto get smaller b. (2) Increasing the sample (group) variances... ... affects the numerator or denominator ...causes to get bigger or to get smaller

Answer 1

10)a) it affects denominator, and causes the f ratio to reduce.

Because when difference between sample mean increases the residual sum of squares increases, causing mean square of residual to increase which is denominator of f ratio causing it to reduce.

10)b) increasing sample group variances affects numerator and causes f to be bigger

Because it increases regression/treatment sum of squares which is sum of squared deviations from mean. It then causes to increase mean squared regression which is numerator of f ratio and it then causes f to increase.