Table (Critical) Values for Z, t, F & χ² Test Calculator

Generally, critical (table) value of (Z_e) calculator is often related to the test of significance for large samples analysis. Z_e is an important part of Z-test to test the significance of large samples of normal distribution. By supplying corresponding input values to this normal distribution critical values calculator, users can estimate Z_e for single sample mean (x̄), single sample proportion (p), difference between two sample means (x̄₁ - x̄₂) & difference between two sample proportions (p₁ - p₂) to check if the results of statistical surveys or experiments statistically significant. The critical value Z_e obtained from the normal distribution table for the corresponding degrees of freedom at a stated level of confidence (99%, 98%, 97%, 96% 95%, etc or 0.01, 0.02, 0.03, 0.04, 0.05, etc) is further compared with the estimated value of Z-statistic (Z₀) to test if the null hypothesis (H₀) is accepted or rejected at a specified level of significance in one (left or right) tailed or two tailed Z-test.

Generally, table (critical) value (t_e) for student's t-test calculator is often related to the test of significance for very sample analysis. t_e is an important part of t-test to check if the results of statistical experiment is statistically significant. By supplying corresponding input values to this critical value for t-test calculator, users can estimate t_e) for single independent sample mean (x̄), difference between two sample means (x̄₁ - x̄₂) & paired or related sample means (x̄) in statistical surveys or experiments. The critical value t_e obtained from the one or two tailed t-distribution table for the corresponding degrees of freedom at a stated level of confidence (99%, 98%, 97%, 96% 95%, etc or 0.01, 0.02, 0.03, 0.04, 0.05, etc) is further compared with t-statistic (t₀) estimated for the corresponding degrees of freedom ν to test if the null hypothesis (H₀) is accepted or rejected at a specified level of significance in one (left or right) tailed or two tailed t-test.

Generally, the table (critical) value (F_e) for F-test calculator is often related to the test of significance to analyze the quality between two or more sample variances. F₀ is an important part of F-test to test the significance for two or more sample variances. By supplying corresponding input values to this critical value for F-test calculator, users can estimate F_e for two or more samples in statistical surveys or experiments. The obtained F_e from F-distribution table for the corresponding degrees of freedom at a stated level of confidence 99%, 98%, 97%, 96% 95%, etc or 0.01, 0.02, 0.03, 0.04, 0.05, etc to test if the null hypothesis (H₀) is accepted or rejected in F-test, one-way anova or two-way ANOVA experiments.

Generally, table (critical) value (χ²_e) for Chi-squared calculator is often related to the test of significance for samples which are not normally distributed in statistical experiments. χ²_e is an important part of χ²-test to test the significance between two abnormally distributed sample sets. By supplying the corresponding input values to this chi-squared table value calculator, users can find χ²_e for two or more sample sets in statistical surveys or experiments. The critical value χ²_e obtained from χ²-distribution table for the corresponding degrees of freedom at a stated level of confidence (99%, 98%, 97%, 96% 95%, etc or 0.01, 0.02, 0.03, 0.04, 0.05, etc) is further compared with the estimated value of χ² statistic (χ²₀) to test if the null hypothesis (H₀) is accepted or rejected in χ²-test.