The joint distribution of the standardized row sums of squares from a balanced two-way layout
Material type:
ArticleLanguage: English Publication details: United Kingdom : Taylor and Francis, 1975.ISSN: - 0162-1459
- 1537-274X (Online)
| Item type | Current library | Collection | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|---|
| Article | CIMMYT Knowledge Center: John Woolston Library | Reprints Collection | REP-170 (Browse shelf(Opens below)) | Available |
A balanced two-way layout with no interaction is considered with the observations yij being arranged in r rows and c columns (i 1, .. ., r, j = 1, . . ., c). The error sum of squares for each row is defined as SX = Ei=l (yq - - j + . )2, and the total error sum of squares is defined as S = FZ=1 Si. The joint distribution of SI, ..., Sk (k < r) and the joint distribution of S1/S, ..., Sk/S (k < r) are derived. The distributional results are of the form conjectured by N.L. Johnson (1962). Finally, a procedure is considered for testing equality of the variances in the different rows which assumes the column variances are equal.
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