The approaches described below are conceptually simplest, but require more calculation work than necessary. If you plan to apply the G test routinely, you are referred to § 3.6 of the manuscript.

**4.1 One-sided upper limit G test**

For each data set j, calculate the ratio G

_{j}according to § 2.1. For each data set j, also calculate the upper limit critical value G

_{UL}at the desired significance level α according to § 2.3, and check if G

_{j}≤ G

_{UL}.

- If G
_{j}≤ G_{UL}for all data sets, there is no reason to assume that one of the data sets has an exceptionally large variance value in comparison with the other data sets. - If G
_{j}> G_{UL}for one data set, label the corresponding variance value as "exceptionally large", remove the value from the variance data, and repeat the test on the remaining variance values. - If G
_{j}> G_{UL}for several data sets, lower the significance level of the test until only one of the data sets still will show G_{j}> G_{UL}. Label the corresponding variance value as "exceptionally large", remove the value from the variance data, and repeat the test on the remaining variance values at the lowered significance level. Continue the process until you have identified and removed all deviant data sets at the lowered significance level. Then run the test on the remaining variance data; let the significance level gradually increase until you reach your initial significance level.

**4.2 One-sided lower limit G test**

For each data set j, calculate the ratio G

_{j}according to § 2.1. For each data set j, also calculate the lower limit critical value G_{LL}at the desired significance level α according to § 2.3, and check if G_{j}≥ G_{LL}.- If G
_{j}≥ G_{LL}for all data sets, there is no reason to assume that one of the data sets has an exceptionally small variance value in comparison with the other data sets. - If G
_{j}< G_{LL}for one data set, label the corresponding variance value as "exceptionally small", remove the value from the variance data, and repeat the test on the remaining variance values. - If G
_{j}< G_{LL}for several data sets, lower the significance level of the test until only one of the data sets still will show G_{j}< G_{LL}. Label the corresponding variance value as "exceptionally small", remove the value from the variance data, and repeat the test on the remaining variance values at the lowered significance level. Continue the process until you have identified and removed all deviant data sets at the lowered significance level. Then run the test on the remaining variance data; let the significance level gradually increase until you reach your initial significance level.

**4.3 Two-sided G test**

For each data set j, calculate the ratio G

_{j}according to § 2.1. For each data set j, also calculate the upper limit critical value G_{UL}and the lower limit critical value G_{LL}at the desired significance level α according to § 2.3, and check if G_{LL}≤ G_{j}≤ G_{UL}.- If G
_{LL}≤ G_{j}≤ G_{UL}for all data sets, there is no reason to assume that one of the data sets has a deviant variance value in comparison with the other data sets. - If G
_{LL}≤ G_{j}≤ G_{UL}is not met for one particular data set, label the corresponding variance value as "deviant", remove the value from the variance data, and repeat the test on the remaining variance values. - If G
_{LL}≤ G_{j}≤ G_{UL}is not met for several data sets, lower the significance level of the test until only one of the data sets still will fail G_{LL}≤ G_{j}≤ G_{UL}. Label the corresponding variance value as "deviant", remove the value from the variance data, and repeat the test on the remaining variance values at the lowered significance level. Continue the process until you have identified and removed all deviant data sets at the lowered significance level. Then run the test on the remaining variance data; let the significance level gradually increase until you reach your initial significance level.

**4.4 Example case of two-sided G test**

Cell contents:

D5: "=B5-1"

E5: "=D5*C5^2"

G5: "=1/(1+(D13/D5-1)/FINV(1-G3/2/COUNT(C5:C12),D5,D13-D5))"

H5: "=E5/E13"

I5: "=1/(1+(D13/D5-1)/FINV(G3/2/COUNT(C5:C12),D5,D13-D5))"

(...)

D13: "=SUM(D5:D12)"

D13: "=SUM(D5:D12)"

D12: "=B12-1"

E12: "=D12*C12^2"

G12: "=1/(1+(D13/D12-1)/FINV(1-G3/2/COUNT(C5:C12),D12,D13-D12))"

H12: "=E12/E13"

I12: "=1/(1+(D13/D12-1)/FINV(G3/2/COUNT(C5:C12),D12,D13-D12))"

E13: "=SUM(E5:E12)"

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