Statistical Tests Compared to IBM SPSS Quantum and IBM SPSS Quanvert

During the development of IBM® SPSS® Data Collection Survey Reporter, the algorithms for statistical formulae were rewritten, and the revised formulae were reviewed by IBM Corp. statisticians. Although the formulae appear very different to those used in IBM® SPSS® Quantum™ and IBM® SPSS® Quanvert™, tests have shown that they give comparable p values.

This section provides a comparison of the formulae in Survey Reporter and Quantum/Quanvert.

Column Proportions Test

In the column proportions test, where the data are not overlapping, the denominator of t = sqrt(term), where term is

in Survey Reporter:

in Quantum/Quanvert:

Where there is overlap, the denominator of t = sqrt(term), where term is

in Survey Reporter:

in Quantum/Quanvert:

In some cases, slight differences will be seen in your results as borderline cases that are significant using the Survey Reporter formula may not be significant using the Quantum/Quanvert formula.

Degrees of freedom:

in Survey Reporter:

DF = e1 + e2 - e0 - 2

in Quantum/Quanvert:

DF = e1 + e2 - e0 - 1

Customers who want to reproduce the Quantum/Quanvert formula can do this using the Use Quantum/Quanvert column proportions formula option available from the popup box in the Statistics tab of the Table Properties dialog box.

For full details of the Survey Reporter formula, see Statistical Formula for the Column Proportions Test.

Column Means Test

Degrees of freedom:

in Survey Reporter:

DF = e1 + e2 - e0 - 2

in Quantum/Quanvert:

DF = e1 + e2 - e0 - 1

Customers who want to reproduce the Quantum/Quanvert formula can do this using the Use Quantum/Quanvert column proportions formula option available from the popup box in the Statistics tab of the Table Properties dialog box.

For full details of the Survey Reporter formula, see Statistical Formula for the Column Means Test.

Paired Preference Test

In the paired preference test, the denominator of t = sqrt(term), where term is

in Survey Reporter:

in Quantum/Quanvert:

where

For full details of the Survey Reporter formula, see Statistical Formula for the Paired Preference Test.

For full details of Quantum and Quanvert formulae, see the Quantum User's Guide or the Quanvert User's Guide.

References

Kish, L. Survey Sampling. New York: John Wiley and Sons. ISBN 0-471-48900-X.