CHI-SQUARED DISTRIBUTION Table shows X² 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_max DISTRIBUTION (α=0.05) Table shows F_max critical values corresponding to α=0.05. 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.

F_max DISTRIBUTION (α=0.01) Table shows F_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.

NORMAL (i.e., Z) DISTRIBUTION Displays the cumulative area from negative infinity up to the Z score listed, for values of Z ranging from -3 to 3. These values are used for calculating confidence intervals with extremely large sample sizes and for conducting Z tests.

STUDENT'S T DISTRIBUTION Critical values for the t probability distribution. Provides the t-value corresponding to selected α values from 0.1 to 0.001. These values are used for calculating confidence intervals with small and moderate sample sizes and for conducting t tests.