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Basic Analysis > Oneway Analysis > Oneway Analysis Reports > Analysis of Means Reports
Publication date: 04/21/2023

Analysis of Means Reports

In the Oneway platform, analysis of means (ANOM) is a multiple comparison method for means or variances. Each ANOM report contains a decision chart with the following elements:

an upper decision limit (UDL)

a lower decision limit (LDL)

a horizontal (center) line; the center line position is determined by the chart type:

ANOM: the overall mean

ANOM with Transformed Ranks: the overall mean of the transformed ranks

ANOM for Variances: the root mean square error (or MSE when in variance scale)

ANOM for Variances with Levene (ADM): the overall absolute deviation from the mean

ANOM for Ranges: the mean of the group ranges

If a group’s plotted statistic falls outside of the decision limits, then the test indicates that there is a statistical difference between that group’s statistic and the overall average of the statistic for all the groups.

Analysis of Means Chart Options

In the Oneway platform, each Analysis of Means red triangle menu contains the following options:

Set Alpha Level

Enables you to select a significance level from the list or specify a level with the Other selection. The upper and lower decision limits update when the alpha level changes.

Note: For ANOM for Ranges, only the significance levels of 0.10, 0.05, and 0.01 are available.

Show Summary Report

Shows or hides a summary report that is based on the Analysis of Means method:

For ANOM, creates a report showing group means and decision limits.

For ANOM with Transformed Ranks, creates a report showing group mean transformed ranks and decision limits.

For ANOM for Variances, creates a report showing group standard deviations (or variances) and decision limits.

For ANOM for Variances with Levene (ADM), creates a report showing group mean ADMs and decision limits.

For ANOM for Ranges, creates a report showing group ranges and decision limits.

Graph in Variance Scale

(Available only for ANOM for Variances.) Changes the scale of the vertical axis in the decision chart between either standard deviations units or variances.

Display Options

Contains the following options to customize the display:

Show Decision Limits

Shows or hides decision limit lines.

Show Decision Limit Shading

Shows or hides decision limit shading.

Show Center Line

Shows or hides the center line statistic.

Point Options: Show Needles

Shows the needles. This is the default option. Show Connected Points shows a line connecting the means for each group. Show Only Points shows only the points representing the means for each group.

Restrictions for ANOM for Ranges Test

Unlike the other ANOM decision limits, the decision limits for the ANOM for Ranges chart uses tabled critical values. For this reason, ANOM for Ranges is available only under the following conditions:

groups of equal sizes

groups specifically of the following sizes: 2–10, 12, 15, and 20

number of groups between 2 and 30

alpha levels of 0.10, 0.05, and 0.01

Want more information? Have questions? Get answers in the JMP User Community (community.jmp.com).