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allocated ANOVA table arithmetic cell chance result Chapter chi-square degrees of freedom differences in scores different subjects effects equal numbers error variance example expected frequencies experiment experimental designs experimental hypothesis F ratios formula freedom df Friedman test given ideas correctly independent variable individual scores Instructions for Calculating interaction level of significance Looking up Significance manipulate Mann-Whitney test matched subjects Mean squares measure minus non-parametric tests null hypothesis number of conditions number of scores number of subjects observed value one-tailed test one-way ANOVA parametric tests percentage probabilities performance predicted presentation rate PROGRESS BOX Question rank totals Rationale reading scheme reading scores reading test recall reject the null related design researcher Section significance level source of variance SSAB statistical table statistical tests Step-by-Step Instructions subtracting sum of squared three conditions total number total variance two-tailed test unknown variables unrelated design value of F variability in scores variance due