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Statistics and Probability

Kansas State University Libraries

Analysis of variance

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Full-Text Articles in Physical Sciences and Mathematics

Co-Effect Analysis Of Variance: A New Method For Unbalanced Data, Andre Plante Apr 1992

Co-Effect Analysis Of Variance: A New Method For Unbalanced Data, Andre Plante

Conference on Applied Statistics in Agriculture

For fixed-effect models one can always, according to the Gauss-Markov Theorem, uniquely determine independent variables called source identifiers, each corresponding to a source of variation. When linearly combined, source identifiers can generate all possible expected values for the response variable. The co-effect method uses regression of the response variable on source identifiers. Corresponding regression coefficients are, by definition, unbiased estimates of co-effects, and satisfy the same restrictions as those imposed on main effects and interaction effects in standard analysis of variance. with balanced data, co-effect analysis gives results identical to those of the standard method; with unbalanced data, however, results …


Analysis Of Repeated Measures Data, Ramon C. Littell Apr 1990

Analysis Of Repeated Measures Data, Ramon C. Littell

Conference on Applied Statistics in Agriculture

Data with repeated measures occur frequently in agricultural research. This paper is a brief overview of statistical methods for repeated measures data. Statistical analysis of repeated measures data requires special attention due to the correlation structure, which may render standard analysis of variance techniques invalid. For balanced data, multivariate analysis of variance methods can be employed and adjustments can be applied to univariate methods, as means of accounting for the correlation structure. But these analysis of variance methods do not apply readily with unbalanced data, and they overlook the regression on time. Regression curves for treatment groups can be obtained …