# STATISTICAL TABLES

**CHI-SQUARED DISTRIBUTION**Table shows X

^{2}values corresponding to selected alpha values from 0.995 to 0.001. Used for determining significance when doing chi-squared goodness-of-fit tests and chi-squared tests of independence or homogeneity.

**F DISTRIBUTION (α=0.05)**Table shows F

_{max}critical values corresponding to α=0.05. Provides values for for degrees of freedom in the numerator from 1 to 12 and for selected degrees of freedom in the denominator from 3 to 1,000 (and infinity). Used when doing F tests of unequal variance with two values (e.g., ANOVA).

**F DISTRIBUTION (α=0.025)**Table shows F

_{max}critical values corresponding to α=0.025. Provides values for for degrees of freedom in the numerator from 1 to 12 and for selected degrees of freedom in the denominator from 3 to 1,000 (and infinity). Used when doing F tests of unequal variance with two values (e.g., ANOVA).

**F DISTRIBUTION (α=0.01)**Table shows F

_{max}critical values corresponding to α=0.01. Provides values for for degrees of freedom in the numerator from 1 to 12 and for selected degrees of freedom in the denominator from 3 to 1,000 (and infinity). Used when doing F tests of unequal variance with two values (e.g., ANOVA).

**F DISTRIBUTION (α=0.001)**Table shows F

_{max}critical values corresponding to α=0.001. Provides values for for degrees of freedom in the numerator from 1 to 12 and for selected degrees of freedom in the denominator from 3 to 1,000 (and infinity). Used when doing F tests of unequal variance with two values (e.g., ANOVA).

**F**Table shows F

_{max}DISTRIBUTION (α=0.01)_{max}critical values corresponding to α=0.01. Provides values for selected degrees of freedom from 2 to 60 (and infinity) for a number of treatment groups ranging from 2 to 12. Used when doing F

_{MAX}tests of unequal variance with more than two values.

**Q DISTRIBUTION (α=0.05)**Critical values for the studentized range distribution, also called the Q or q distribution, corresponding to α=0.05. Provides values for selected degrees of freedom from 2 to 120 (and infinity) for treatment groups values ranging from 2 to 12. Used for calculating significant differences when doing one-factor ANOVA analyses.

**Q DISTRIBUTION (α=0.01)**Critical values for the studentized range distribution, also called the Q or q distribution, corresponding to α=0.05. Provides values for selected degrees of freedom from 5 to 120 (and infinity) for treatment groups values ranging from 2 to 10. Used for calculating significant differences when doing one-factor ANOVA analyses.

**Q DISTRIBUTION (α=0.001)**Critical values for the studentized range distribution, also called the Q or q distribution, corresponding to α=0.05. Provides values for selected degrees of freedom from 5 to 120 (and infinity) for treatment groups values ranging from 2 to 12. Used for calculating significant differences when doing one-factor ANOVA analyses.

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