Sample Size Calculation, One-Variance, Chi-Square Test

Sample Size (DF) calculation for one-variance, Chi Square tests with option for charts of sample size (DF) vs. variance, alpha level, and power.

General

Element Name Description
Power Goal Specifies power goal to be used for the sample size (DF) calculation (acceptable range 0.65 to 0.999).
Population Variance (Var) Specifies population variance for comparison to sample variance.
Sample Variance (Var0) Variance of the sample being tested.
Alpha Level Alpha level (Type I error rate for Chi Square statistic) (acceptable range 0.0001 to 0.25).
Hypothesis type Hypothesis type selection:

 Two-tailed (Var=Var0, population variance = sample variance);

 One-tailed (Var<=Var0, population variance <= sample variance);

 One-tailed (Var>=Var0, population variance >= sample variance).
Detail of computed results reported Output level of detail selection:

 Size Calculation produces Sample Size (DF) Calculation Spreadsheet;

 Spl Size Calc and Charts option produces, in addition, Sample Size (DF) vs. Variance, Sample Size (DF) vs. Alpha Level, and Sample Size (DF) vs. Power charts.

Chart Parameters

Element Name Description
Number of Steps. (For charts only) Number of individual steps for which to calculate power between the starting and ending parameter values for Sample Size (DF) vs. Variance, Sample Size (DF) vs. Alpha, and Sample Size (DF) vs. Power charts (Min 4, Max 100).
Starting Power. (For charts only) Initial power value for calculation of Sample Size (DF) vs. Power chart (acceptable range 0.05 to 0.99).
Ending Power. (For charts only) Final power value for calculation of Sample Size (DF) vs. Power chart (acceptable range 0.1 to 0.999).
Starting Variance. (For charts only) Initial variance value for calculation of Sample Size (DF) vs. Variance chart. (must be > 0).
Ending Variance. (For charts only) Final variance value for calculation of Sample Size (DF) vs. Variance chart. (must be > 0).
Starting Alpha". (For charts only) Initial alpha value for calculation of Sample Size (DF) vs. Alpha Level chart (acceptable range 0.0001 to 0.2499).
Ending Alpha. (For charts only) Final alpha value for calculation of Sample Size (DF) vs. Alpha Level chart (acceptable range 0.0002 to 0.25).
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