Interpret the key results for One

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Interpret the key results for One

2023-08-27 16:06| 来源: 网络整理| 查看: 265

If your one-way ANOVA p-value is less than your significance level, you know that some of the group means are different, but not which pairs of groups. Use the grouping information table and tests for differences of means to determine whether the mean difference between specific pairs of groups are statistically significant and to estimate by how much they are different.

For more information on comparison methods, go to Using multiple comparisons to assess the practical and statistical significance.

Grouping Information table

Use the grouping information table to quickly determine whether the mean difference between any pair of groups is statistically significant.

Groups that do not share a letter are significantly different.

Tests for differences of means

Use the confidence intervals to determine likely ranges for the differences and to determine whether the differences are practically significant. The table displays a set of confidence intervals for the difference between pairs of means. The interval plot for differences of means displays the same information.

Confidence intervals that do not contain zero indicate a mean difference that is statistically significant.

Depending on the comparison method you chose, the table compares different pairs of groups and displays one of the following types of confidence intervals.

Individual confidence level

The percentage of times that a single confidence interval includes the true difference between one pair of group means, if you repeat the study multiple times.

Simultaneous confidence level

The percentage of times that a set of confidence intervals includes the true differences for all group comparisons, if you repeat the study multiple times.

Controlling the simultaneous confidence level is particularly important when you perform multiple comparisons. If you do not control the simultaneous confidence level, the chance that at least one confidence interval does not contain the true difference increases with the number of comparisons.

For more information, go to Understanding individual and simultaneous confidence levels in multiple comparisons.

For more information about how to interpret the results for Hsu's MCB, go to What is Hsu's multiple comparisons with the best (MCB)?

Grouping Information Using the Tukey Method and 95% Confidence Paint N Mean Grouping Blend 4 6 18.07 A Blend 1 6 14.73 A B Blend 3 6 12.98 A B Blend 2 6 8.57 B Means that do not share a letter are significantly different. Key Results: Mean, Grouping

In these results, the table shows that group A contains Blends 1, 3, and 4, and group B contains Blends 1, 2, and 3. Blends 1 and 3 are in both groups. Differences between means that share a letter are not statistically significant. Blends 2 and 4 do not share a letter, which indicates that Blend 4 has a significantly higher mean than Blend 2.

Tukey Simultaneous Tests for Differences of Means Difference SE of Difference of Levels of Means Difference 95% CI T-Value Blend 2 - Blend 1 -6.17 2.28 (-12.55, 0.22) -2.70 Blend 3 - Blend 1 -1.75 2.28 ( -8.14, 4.64) -0.77 Blend 4 - Blend 1 3.33 2.28 ( -3.05, 9.72) 1.46 Blend 3 - Blend 2 4.42 2.28 ( -1.97, 10.80) 1.94 Blend 4 - Blend 2 9.50 2.28 ( 3.11, 15.89) 4.17 Blend 4 - Blend 3 5.08 2.28 ( -1.30, 11.47) 2.23 Adjusted Difference of Levels P-Value Blend 2 - Blend 1 0.061 Blend 3 - Blend 1 0.868 Blend 4 - Blend 1 0.478 Blend 3 - Blend 2 0.245 Blend 4 - Blend 2 0.002 Blend 4 - Blend 3 0.150 Individual confidence level = 98.89% Key Results: Simultaneous 95% CIs, Individual confidence level

In the Tukey results, the confidence intervals indicate the following: The confidence interval for the difference between the means of Blend 2 and 4 is 3.11 to 15.89. This range does not include zero, which indicates that the difference is statistically significant. The confidence intervals for the remaining pairs of means all include zero, which indicates that the differences are not statistically significant. The 95% simultaneous confidence level indicates that you can be 95% confident that all the confidence intervals contain the true differences. The table indicates that the individual confidence level is 98.89%. This result indicates that you can be 98.89% confident that each individual interval contains the true difference between a specific pair of group means. The individual confidence levels for each comparison produce the 95% simultaneous confidence level for all six comparisons.


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