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Exact(7)

However, if statistical inference is to be performed as part of the experimental analysis, one view is that inferential procedures should be performed using a model independent error estimate instead of the residual mean square from the fitted model.

The end-point determination algorithm, including root mean square from nominal value (RMSNV) and two-tailed Student's t-test, was developed based on PLS predicted concentrations of all three constituents.

The standard errors of the difference between sample means were calculated using the error mean square from the ANOVA.

Differences from control values in all cases were assessed statistically using a two-sided Student's t-test based on the error mean square from the ANOVA or ANCOVA.

An approximate variance for the log risk ratio in each arm was obtained from the residual mean square from a two-way analysis of variance of cluster log (total observed/total expected) on stratum and study arm.

Differences from control values (RM1 or RM1 with AO, as appropriate) were assessed statistically using a two-sided Student's t-test based on the error mean square from the analysis of covariance (ANCOVA).

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Similar(53)

The Satterthwaite option was used within the MIXED procedure because F-ratios for these simple effects were constructed using error terms that were linear combinations of multiple mean squares from the ANOVA table [51].

Broad sense heritability (H) was calculated independently for damaged and undamaged treatments of each population using mean squares from an ANOVA with RILs as groups.

The QTL heritability was calculated as the proportion of the phenotypic variance accounted for by the QTL, and this is calculated from the residual mean squares from the regression analysis of fitting a QTL or no QTL as [1- residual mean square of full model/residual mean square of reduced model)].

Because the error mean squares from the models are estimates of the error variance, the ratio of the mean squares forms an F-test for equality of the variances and the p-value calculated from it provides a measure of confidence that the RIL had been assigned to the correct parent.

We conducted a variance decomposition on the total variance of TEE from this model using estimated mean squares from a Type I ANOVA Table, calculated using the proc mixed procedure from SAS [ 28], and methods described in Searle et al. [ 44].

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