PASS

Regression and Correlation

Introduction
PASS provides several modules for power analysis and sample size calculation of regression and correlation, including:

Coefficient Alpha
Coefficient alpha, sometimes called Cronbach’s alpha, is used as a reliability measure. Two procedures are available: one for analyzing a single set of variables and the other for comparing the coefficient alphas from two sets of variables.

Correlation Coefficients
The correlation coefficient, r, is a popular statistic for describing the strength of the relationship between two variables. PASS lets you calculate the sample size for testing a correlation coefficient versus a specific value or for the comparison of two correlations. Power calculations are based on the exact distribution of the correlation coefficient.

Cox Regression
Cox regression is similar to multiple regression except that the dependent variable is a hazard rate.

Intraclass Correlation
The intraclass correlation coefficient is often used as an index of reliability in a measurement study. In these studies, there are N observations made on each of K individuals. These individuals represent a factor observed at random. This design arises when K subjects are each rated by N raters.

Logistic Regression
Logistic regression is similar to multiple regression except that the dependent variable only has two values. Let Y be equal to one if a certain event occurs and equal to zero otherwise. The logistic regression model relates the probability distribution of Y to one or more covariates (X1, X2, ..., Xk). PASS lets you study the power of a test of this relationship. The independent variable may be binary or continuous.

Linear Regression
Use this module to calculate the power and sample size in the case when you have one dependent variable and one independent variable. The results are similar to those for the correlation coefficient, but they are not exactly the same because of the difference in the underlying models (and assumptions).

Poisson Regression

Poisson regression is similar to multiple regression except that the dependent variable is a count.

Multiple Regression
PASS lets you study the power and sample size requirements of various multiple regression F-tests. The tests are put in the context of the R-squared value. When performing a regression analysis, a typical hypothesis involves testing the significance of a subgroup of the independent variables after considering a second, non-overlapping, group of variables. For example, suppose you have five independent variables. One common hypothesis asks whether a certain variable is `important' or `useful' (has a nonzero coefficient in the regression equation) after considering the other four variables. The power of this type of situation is easily examined (with often surprising results).

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PASS 11
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We are pleased to announce the availability of PASS 11. This edition adds over 17 new procedures and features to PASS.

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Read about what’s new in
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"Researchers seeking software to determine sample size have a wide range of choices... Researchers seeking a comprehensive, commercial program for analysis of statistical power and precision should consider PASS 2008."

- Patrick Dattalo
 "A Review of Software for Sample Size Determination"
Eval Health Prof, 2009.

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PASS Update

Most Recent Version:
PASS 11
Version 11.0.8
Released December 2, 2011

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PASS Training Course

A 4-week, online course on sample size and power, featuring PASS, is now being offered through statistics.com. The course is taught by Dr. Thomas P. Ryan.

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Minimum System Requirements
Click on one of the links below to view the minimum system requirements for NCSS and PASS products:
PASS 11
PASS 2008
NCSS 2007
Previous Versions

Accuracy
We at NCSS have put a great deal of effort into finding the most accurate algorithms possible. The programs have been tested and verified over and over, both by us and by our customers. Each routine has been verified against textbooks, journal articles, and, where possible, other software. NCSS and PASS are some of the most accurate statistical analysis programs available. NCSS and PASS calculate with seventeen-digit, double-precision accuracy.

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