Grubbs’ Test Data Analysis Tool

Real Statistics Data Analysis Tool: The Descriptive Statistics and Normality data analysis tool contained in the Real Statistics Resource Pack also provides access to Grubbs’ Test and the ESD Test extension. To use this tool for Example 1 of Generalized Extreme Studentized Deviate Test press Ctrl-m and select the Descriptive Statistics and Normality option. Fill in the dialog box that appears as shown in Figure 1 and press the OK button.

Descriptive Statistics dialog box

Figure 1 – Grubbs’ Test dialog box

Note that the Grubbs/ESD Test is performed on the entire data range selected and not on a column by column basis as for other options of the Descriptive Statistics and Normality data analysis tool.

The output is shown in Figure 2.

Grubbs/ESD data analysis

Figure 2 – Grubbs/ESD data analysis output

The alpha value (cell BA5) defaults to .05, but you can change this value in the output and the other values will change automatically.

References

Wikipedia (2014) Grubbs’s test
https://en.wikipedia.org/wiki/Grubbs%27s_test

NIST (2022) Grubbs’ test for outliers
https://www.itl.nist.gov/div898/handbook/eda/section3/eda35h1.htm

Grubbs, F. E. (1950) Sample criteria for testing outlying observations The Annals of Mathematical Statistics
https://psycnet.apa.org/record/1950-04973-001

Swarup, S. (2021) Anomaly detection with GESD (Generalized extreme studentized deviate) in Python
https://towardsdatascience.com/anomaly-detection-with-generalized-extreme-studentized-deviate-in-python-f350075900e2

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