PROPOSING A SOLUTION FOR THE PROBLEM OF CHOOSING ORTHOGONAL CONTRASTS FOR EQUAL SAMPLE SIZES

Abstract

Many scholars as it is stated in the literature faced the problem of  finding a suitable solution  for finding and selecting orthogonal contrasts with (k-1) number, in terms of having groups (samples, types and treatments) with (k) number, where (contrasts=treatments-1). These are based on independence and orthogonalization as two conditions for selecting significant differences between (averages) treatments, and for identifying which one is responsible for these differences.  The researchers solve this problem by proposing a method for selecting orthogonal contrasts in terms of equal observations, where independence and orthogonalization exist simply ,to let the experimenter to test all averages with no need to test these two conditions if more averages are formulated or added.

Keywords: ANOVA, F-Test, Independence, p value, Stock Exchange, Orthogonal, Contrasts, Treatments, Trading, Rainfall, Annual.

Contribution/Orginality

The proposed method  for  simply selecting orthogonal contrasts in terms of equal observations  where independence and othogonalization exist is important; especially it is concerned with (k) of averages and treatment. The application of this method is useful in experimental design since it is applied before experimenting, and consequently new results and conclusions may be revealed.