Sample Size Calculation, One Mean, t-Test

Sample Size calculation for one-sample t-tests with option for charts of sample size vs. standardized effect size, alpha level, and power.

General

Element Name Description
Power Goal Specifies power goal to be used for the power calculation (acceptable range 0.65 to 0.999).
Sample mean (Mu0) Mean of the sample being tested.
Population mean (Mu) Mean of the population against which the sample is being compared.
Population Standard Deviation Standard deviation of the population against which the sample is being compared.
Alpha Level Alpha level (Type I error rate for t-statistic) (acceptable range 0.0001 to 0.25).
Hypothesis type Hypothesis type selection:

 Two-tailed (Mu=Mu0, population mean=sample mean);

 One-tailed (Mu<=Mu0, population mean <= sample mean);

 One-tailed (Mu>=Mu0, population mean >= sample mean).
Detail of computed results reported Output level of detail selection:

 Size Calculation produces Sample Size Calculation Spreadsheet;

 Spl Size Calc and Charts option produces, in addition, Sample Size vs. Standardized Effect, Sample Size vs. Alpha Level, and Sample Size 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 vs. Standardized Effects, Sample Size vs. Alpha, and Sample Size vs. Power charts (Min 4, Max 100).
Starting Power. (For charts only) Initial power value for calculation of Sample Size vs. Power chart (acceptable range 0.05 to 0.99).
Ending Power. (For charts only) Final power value for calculation of Sample Size vs. Power chart (acceptable range 0.1 to 0.999).
Starting Standardized Effect. (For charts only) Initial standardized effect size value for calculation of Sample Size vs. Standardized Effect chart (acceptable range -10 to 9).
Ending Standardized Effect. (For charts only) Final standardized effect size value for calculation of Sample Size vs. Standardized Effect chart (acceptable range -9 to 10).
Starting Alpha". (For charts only) Initial alpha value for calculation of Sample Size vs. Alpha Level chart (acceptable range 0.0001 to 0.2499).
Ending Alpha. (For charts only) Final alpha value for calculation of Sample Size vs. Alpha Level chart (acceptable range 0.0002 to 0.25).