One Sample Wilcoxon Signed Rank Test

One Sample Wilcoxon Signed Rank Test

Description

  • One Sample Wilcoxon Signed Rank Test is a non-parametric version of a one-sample t-test.
  • It is used to determine if the median of the sample value is equal to the known standard or theoretical value.

Why to use

To determine if a single group differs significantly from a known or a hypothesized value.

When to use

  • When the variable is continuous.
  • When there is one group.

When not to use

  • You have non-continuous variables.
  • When variables are non-numeric.

Prerequisites

  • Variables must be continuous.
  • Variable is a random sample from the population.

Input

Numeric dataset

Output

  • Population median
  • p Value
  • Test statistic

Statistical Methods Used

  • Median
  • Alpha (α)

Limitations

If the values of many data entries are the same, the test may produce incorrect results.


The system calculates the p value in this test and compares it with the alpha value.

Criteria

Interpretation

When the p-value is greater than alpha an alternative hypothesis can either be "Two-sided" or "One-sided (less than)" or "One-sided (greater than)".

As the p-value is greater than alpha, the population median does not differ from the hypothesized median.

When the p-value is less than or equal to alpha and the alternative hypothesis is equal to" Two-sided".

As the p-value is less than or equal to alpha, the population median differs from the hypothesized median.

When the p-value is less than equal to alpha and the alternative hypothesis is equal to "One-sided(less than)".

As the p-value is less than or equal to alpha, the population median is less than the hypothesized median.

When the p-value is less than equal to alpha and the alternative hypothesis is equal to "One-sided (greater than)".

As the p-value is less than or equal to alpha, the population median is greater than the population median hypothesized median.

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