Treatment of early stuttering

$\begin{array}{l}{H}_0:\text{EOT}=b_0+b_{\text{Age}}\text{Age}+b_{\text{T0}}\text{T0}+b_{\text{Sex}}\text{Sex}+\epsilon \\ H_1:\text{EOT}=b_0+b_{\text{Therapy}}\text{Therapy}+b_{\text{Age}}\text{Age}+b_{\text{T0}}\text{T0}+b_{\text{Sex}}\text{Sex}+\epsilon \\ F\left(H_1-H_0\right)\end{array}$

• Correctly identified the problem as a group comparison with covariate adjustment.
• The correct covariates $\text{T0}+\text{Age}$ were included in the model.
• The correct strata $\text{Sex}$ were included in the model.
• The post-randomization variable(s) $\text{FU}$ were correctly excluded from the statistical model.
• Correctly excluded any treatment-by-covariate interactions from the analysis.
• The $F$-ratio for $\text{Therapy}$ has been reported.

$\begin{array}{l}{H}_0:\text{EOT}=b_0+b_{\text{Age}}\text{Age}+b_{\boxed{\text{Therapy:age}}}\boxed{\text{Therapy:age}}+b_{\boxed{\text{FU}}}\boxed{\text{FU}}+b_{\cancel{\text{Sex}}}\cancel{\text{Sex}}+b_{\cancel{\text{T0}}}\cancel{\text{T0}}+\epsilon \\ H_1:\text{EOT}=b_0+b_{\text{Therapy}}\text{Therapy}+b_{\text{Age}}\text{Age}+b_{\boxed{\text{Therapy:age}}}\boxed{\text{Therapy:age}}+b_{\boxed{\text{FU}}}\boxed{\text{FU}}+b_{\cancel{\text{Sex}}}\cancel{\text{Sex}}+b_{\cancel{\text{T0}}}\cancel{\text{T0}}+\epsilon \\ F\left(H_1-H_0\right)\end{array}$

• Correctly identified the problem as a group comparison with covariate adjustment.
• The covariates $\text{T0}$ were erroneously excluded from the model.
• The relevant stratification variable(s) $\text{Sex}$ were erroneously excluded from the statistical model.
• The distractor variable(s) $\text{FU}$ were erroneously included in the model.
• The following treatment-by-covariate interaction(s) were erroneously included in the model: $\text{Therapy:age}$.
• The $F$-ratio for $\text{Therapy}$ has been reported.

$\begin{array}{l}{H}_0:\text{EOT}=b_0+b_{\text{Age}}\text{Age}+b_{\boxed{\text{FU}}}\boxed{\text{FU}}+b_{\cancel{\text{Sex}}}\cancel{\text{Sex}}+b_{\cancel{\text{T0}}}\cancel{\text{T0}}+\epsilon \\ H_1:\text{EOT}=b_0+b_{\text{Therapy}}\text{Therapy}+b_{\text{Age}}\text{Age}+b_{\boxed{\text{FU}}}\boxed{\text{FU}}+b_{\cancel{\text{Sex}}}\cancel{\text{Sex}}+b_{\cancel{\text{T0}}}\cancel{\text{T0}}+\epsilon \\ F\left(H_1-H_0\right)\end{array}$

• Correctly identified the problem as a group comparison with covariate adjustment.
• The covariates $\text{T0}$ were erroneously excluded from the model.
• The relevant stratification variable(s) $\text{Sex}$ were erroneously excluded from the statistical model.
• The distractor variable(s) $\text{FU}$ were erroneously included in the model.
• Correctly excluded any treatment-by-covariate interactions from the analysis.
• The $F$-ratio for $\text{Therapy}$ has been reported.

$\begin{array}{l}{H}_0:\text{EOT}=b_0+b_{\text{Age}}\text{Age}+b_{\boxed{\text{Therapy:age}}}\boxed{\text{Therapy:age}}+b_{\cancel{\text{Sex}}}\cancel{\text{Sex}}+b_{\cancel{\text{T0}}}\cancel{\text{T0}}+\epsilon \\ H_1:\text{EOT}=b_0+b_{\text{Therapy}}\text{Therapy}+b_{\text{Age}}\text{Age}+b_{\boxed{\text{Therapy:age}}}\boxed{\text{Therapy:age}}+b_{\cancel{\text{Sex}}}\cancel{\text{Sex}}+b_{\cancel{\text{T0}}}\cancel{\text{T0}}+\epsilon \\ F\left(H_1-H_0\right)\end{array}$

• Correctly identified the problem as a group comparison with covariate adjustment.
• The covariates $\text{T0}$ were erroneously excluded from the model.
• The relevant stratification variable(s) $\text{Sex}$ were erroneously excluded from the statistical model.
• The post-randomization variable(s) $\text{FU}$ were correctly excluded from the statistical model.
• The following treatment-by-covariate interaction(s) were erroneously included in the model: $\text{Therapy:age}$.
• The $F$-ratio for $\text{Therapy}$ has been reported.

$\begin{array}{l}{H}_0:\text{EOT}=b_0+b_{\text{Age}}\text{Age}+b_{\cancel{\text{Sex}}}\cancel{\text{Sex}}+b_{\cancel{\text{T0}}}\cancel{\text{T0}}+\epsilon \\ H_1:\text{EOT}=b_0+b_{\text{Therapy}}\text{Therapy}+b_{\text{Age}}\text{Age}+b_{\cancel{\text{Sex}}}\cancel{\text{Sex}}+b_{\cancel{\text{T0}}}\cancel{\text{T0}}+\epsilon \\ F\left(H_1-H_0\right)\end{array}$

• Correctly identified the problem as a group comparison with covariate adjustment.
• The covariates $\text{T0}$ were erroneously excluded from the model.
• The relevant stratification variable(s) $\text{Sex}$ were erroneously excluded from the statistical model.
• The post-randomization variable(s) $\text{FU}$ were correctly excluded from the statistical model.
• Correctly excluded any treatment-by-covariate interactions from the analysis.
• The $F$-ratio for $\text{Therapy}$ has been reported.

$\begin{array}{l}{H}_0:\text{EOT}=b_0+b_{\boxed{\text{FU}}}\boxed{\text{FU}}+b_{\cancel{\text{Sex}}}\cancel{\text{Sex}}+b_{\cancel{\text{Age}}}\cancel{\text{Age}}+b_{\cancel{\text{T0}}}\cancel{\text{T0}}+\epsilon \\ H_1:\text{EOT}=b_0+b_{\text{Therapy}}\text{Therapy}+b_{\boxed{\text{FU}}}\boxed{\text{FU}}+b_{\cancel{\text{Sex}}}\cancel{\text{Sex}}+b_{\cancel{\text{Age}}}\cancel{\text{Age}}+b_{\cancel{\text{T0}}}\cancel{\text{T0}}+\epsilon \\ F\left(H_1-H_0\right)\end{array}$

• Correctly identified the problem as a group comparison with covariate adjustment.
• The covariates $\text{T0}+\text{Age}$ were erroneously excluded from the model.
• The relevant stratification variable(s) $\text{Sex}$ were erroneously excluded from the statistical model.
• The distractor variable(s) $\text{FU}$ were erroneously included in the model.
• Correctly excluded any treatment-by-covariate interactions from the analysis.
• The $F$-ratio for $\text{Therapy}$ has been reported.

$\begin{array}{l}{H}_0:\text{EOT}=b_0+b_{\cancel{\text{Sex}}}\cancel{\text{Sex}}+b_{\cancel{\text{Age}}}\cancel{\text{Age}}+b_{\cancel{\text{T0}}}\cancel{\text{T0}}+\epsilon \\ H_1:\text{EOT}=b_0+b_{\text{Therapy}}\text{Therapy}+b_{\cancel{\text{Sex}}}\cancel{\text{Sex}}+b_{\cancel{\text{Age}}}\cancel{\text{Age}}+b_{\cancel{\text{T0}}}\cancel{\text{T0}}+\epsilon \\ F\left(H_1-H_0\right)\end{array}$

• Correctly identified the problem as a group comparison with covariate adjustment.
• The covariates $\text{T0}+\text{Age}$ were erroneously excluded from the model.
• The relevant stratification variable(s) $\text{Sex}$ were erroneously excluded from the statistical model.
• The post-randomization variable(s) $\text{FU}$ were correctly excluded from the statistical model.
• Correctly excluded any treatment-by-covariate interactions from the analysis.
• The $F$-ratio for $\text{Therapy}$ has been reported.

$\begin{array}{l}{H}_0:\text{EOT}=b_0+b_{\text{Age}}\text{Age}+b_{\text{T0}}\text{T0}+b_{\boxed{\text{Therapy:T0:age}}}\boxed{\text{Therapy:T0:age}}+b_{\boxed{\text{Therapy:T0}}}\boxed{\text{Therapy:T0}}+b_{\boxed{\text{Therapy:age}}}\boxed{\text{Therapy:age}}+b_{\boxed{\text{FU}}}\boxed{\text{FU}}+b_{\cancel{\text{Sex}}}\cancel{\text{Sex}}+\epsilon \\ H_1:\text{EOT}=b_0+b_{\text{Therapy}}\text{Therapy}+b_{\text{Age}}\text{Age}+b_{\text{T0}}\text{T0}+b_{\boxed{\text{Therapy:T0:age}}}\boxed{\text{Therapy:T0:age}}+b_{\boxed{\text{Therapy:T0}}}\boxed{\text{Therapy:T0}}+b_{\boxed{\text{Therapy:age}}}\boxed{\text{Therapy:age}}+b_{\boxed{\text{FU}}}\boxed{\text{FU}}+b_{\cancel{\text{Sex}}}\cancel{\text{Sex}}+\epsilon \\ F\left(H_1-H_0\right)\end{array}$

• Correctly identified the problem as a group comparison with covariate adjustment.
• The correct covariates $\text{T0}+\text{Age}$ were included in the model.
• The relevant stratification variable(s) $\text{Sex}$ were erroneously excluded from the statistical model.
• The distractor variable(s) $\text{FU}$ were erroneously included in the model.
• The following treatment-by-covariate interaction(s) were erroneously included in the model: $\text{Therapy:age}+\text{Therapy:T0}+\text{Therapy:T0:age}$.
• The $F$-ratio for $\text{Therapy}$ has been reported.

$\begin{array}{l}{H}_0:\text{EOT}=b_0+b_{\text{Age}}\text{Age}+b_{\text{T0}}\text{T0}+b_{\boxed{\text{FU}}}\boxed{\text{FU}}+b_{\cancel{\text{Sex}}}\cancel{\text{Sex}}+\epsilon \\ H_1:\text{EOT}=b_0+b_{\text{Therapy}}\text{Therapy}+b_{\text{Age}}\text{Age}+b_{\text{T0}}\text{T0}+b_{\boxed{\text{FU}}}\boxed{\text{FU}}+b_{\cancel{\text{Sex}}}\cancel{\text{Sex}}+\epsilon \\ F\left(H_1-H_0\right)\end{array}$

• Correctly identified the problem as a group comparison with covariate adjustment.
• The correct covariates $\text{T0}+\text{Age}$ were included in the model.
• The relevant stratification variable(s) $\text{Sex}$ were erroneously excluded from the statistical model.
• The distractor variable(s) $\text{FU}$ were erroneously included in the model.
• Correctly excluded any treatment-by-covariate interactions from the analysis.
• The $F$-ratio for $\text{Therapy}$ has been reported.

$\begin{array}{l}{H}_0:\text{EOT}=b_0+b_{\text{Age}}\text{Age}+b_{\text{T0}}\text{T0}+b_{\boxed{\text{Therapy:T0:age}}}\boxed{\text{Therapy:T0:age}}+b_{\boxed{\text{Therapy:T0}}}\boxed{\text{Therapy:T0}}+b_{\boxed{\text{Therapy:age}}}\boxed{\text{Therapy:age}}+b_{\cancel{\text{Sex}}}\cancel{\text{Sex}}+\epsilon \\ H_1:\text{EOT}=b_0+b_{\text{Therapy}}\text{Therapy}+b_{\text{Age}}\text{Age}+b_{\text{T0}}\text{T0}+b_{\boxed{\text{Therapy:T0:age}}}\boxed{\text{Therapy:T0:age}}+b_{\boxed{\text{Therapy:T0}}}\boxed{\text{Therapy:T0}}+b_{\boxed{\text{Therapy:age}}}\boxed{\text{Therapy:age}}+b_{\cancel{\text{Sex}}}\cancel{\text{Sex}}+\epsilon \\ F\left(H_1-H_0\right)\end{array}$

• Correctly identified the problem as a group comparison with covariate adjustment.
• The correct covariates $\text{T0}+\text{Age}$ were included in the model.
• The relevant stratification variable(s) $\text{Sex}$ were erroneously excluded from the statistical model.
• The post-randomization variable(s) $\text{FU}$ were correctly excluded from the statistical model.
• The following treatment-by-covariate interaction(s) were erroneously included in the model: $\text{Therapy:age}+\text{Therapy:T0}+\text{Therapy:T0:age}$.
• The $F$-ratio for $\text{Therapy}$ has been reported.

$\begin{array}{l}{H}_0:\text{EOT}=b_0+b_{\text{Age}}\text{Age}+b_{\text{T0}}\text{T0}+b_{\cancel{\text{Sex}}}\cancel{\text{Sex}}+\epsilon \\ H_1:\text{EOT}=b_0+b_{\text{Therapy}}\text{Therapy}+b_{\text{Age}}\text{Age}+b_{\text{T0}}\text{T0}+b_{\cancel{\text{Sex}}}\cancel{\text{Sex}}+\epsilon \\ F\left(H_1-H_0\right)\end{array}$

• Correctly identified the problem as a group comparison with covariate adjustment.
• The correct covariates $\text{T0}+\text{Age}$ were included in the model.
• The relevant stratification variable(s) $\text{Sex}$ were erroneously excluded from the statistical model.
• The post-randomization variable(s) $\text{FU}$ were correctly excluded from the statistical model.
• Correctly excluded any treatment-by-covariate interactions from the analysis.
• The $F$-ratio for $\text{Therapy}$ has been reported.

$\begin{array}{l}{H}_0:\text{EOT}=b_0+b_{\text{Age}}\text{Age}+b_{\text{Sex}}\text{Sex}+b_{\boxed{\text{Therapy:sex:age}}}\boxed{\text{Therapy:sex:age}}+b_{\boxed{\text{Therapy:sex}}}\boxed{\text{Therapy:sex}}+b_{\boxed{\text{Therapy:age}}}\boxed{\text{Therapy:age}}+b_{\boxed{\text{FU}}}\boxed{\text{FU}}+b_{\cancel{\text{T0}}}\cancel{\text{T0}}+\epsilon \\ H_1:\text{EOT}=b_0+b_{\text{Therapy}}\text{Therapy}+b_{\text{Age}}\text{Age}+b_{\text{Sex}}\text{Sex}+b_{\boxed{\text{Therapy:sex:age}}}\boxed{\text{Therapy:sex:age}}+b_{\boxed{\text{Therapy:sex}}}\boxed{\text{Therapy:sex}}+b_{\boxed{\text{Therapy:age}}}\boxed{\text{Therapy:age}}+b_{\boxed{\text{FU}}}\boxed{\text{FU}}+b_{\cancel{\text{T0}}}\cancel{\text{T0}}+\epsilon \\ F\left(H_1-H_0\right)\end{array}$

• Correctly identified the problem as a group comparison with covariate adjustment.
• The covariates $\text{T0}$ were erroneously excluded from the model.
• The correct strata $\text{Sex}$ were included in the model.
• The distractor variable(s) $\text{FU}$ were erroneously included in the model.
• The following treatment-by-covariate interaction(s) were erroneously included in the model: $\text{Therapy:age}+\text{Therapy:sex}+\text{Therapy:sex:age}$.
• The $F$-ratio for $\text{Therapy}$ has been reported.

$\begin{array}{l}{H}_0:\text{EOT}=b_0+b_{\text{Age}}\text{Age}+b_{\text{Sex}}\text{Sex}+b_{\boxed{\text{FU}}}\boxed{\text{FU}}+b_{\cancel{\text{T0}}}\cancel{\text{T0}}+\epsilon \\ H_1:\text{EOT}=b_0+b_{\text{Therapy}}\text{Therapy}+b_{\text{Age}}\text{Age}+b_{\text{Sex}}\text{Sex}+b_{\boxed{\text{FU}}}\boxed{\text{FU}}+b_{\cancel{\text{T0}}}\cancel{\text{T0}}+\epsilon \\ F\left(H_1-H_0\right)\end{array}$

• Correctly identified the problem as a group comparison with covariate adjustment.
• The covariates $\text{T0}$ were erroneously excluded from the model.
• The correct strata $\text{Sex}$ were included in the model.
• The distractor variable(s) $\text{FU}$ were erroneously included in the model.
• Correctly excluded any treatment-by-covariate interactions from the analysis.
• The $F$-ratio for $\text{Therapy}$ has been reported.

$\begin{array}{l}{H}_0:\text{EOT}=b_0+b_{\text{Age}}\text{Age}+b_{\text{Sex}}\text{Sex}+b_{\boxed{\text{Therapy:sex:age}}}\boxed{\text{Therapy:sex:age}}+b_{\boxed{\text{Therapy:sex}}}\boxed{\text{Therapy:sex}}+b_{\boxed{\text{Therapy:age}}}\boxed{\text{Therapy:age}}+b_{\cancel{\text{T0}}}\cancel{\text{T0}}+\epsilon \\ H_1:\text{EOT}=b_0+b_{\text{Therapy}}\text{Therapy}+b_{\text{Age}}\text{Age}+b_{\text{Sex}}\text{Sex}+b_{\boxed{\text{Therapy:sex:age}}}\boxed{\text{Therapy:sex:age}}+b_{\boxed{\text{Therapy:sex}}}\boxed{\text{Therapy:sex}}+b_{\boxed{\text{Therapy:age}}}\boxed{\text{Therapy:age}}+b_{\cancel{\text{T0}}}\cancel{\text{T0}}+\epsilon \\ F\left(H_1-H_0\right)\end{array}$

• Correctly identified the problem as a group comparison with covariate adjustment.
• The covariates $\text{T0}$ were erroneously excluded from the model.
• The correct strata $\text{Sex}$ were included in the model.
• The post-randomization variable(s) $\text{FU}$ were correctly excluded from the statistical model.
• The following treatment-by-covariate interaction(s) were erroneously included in the model: $\text{Therapy:age}+\text{Therapy:sex}+\text{Therapy:sex:age}$.
• The $F$-ratio for $\text{Therapy}$ has been reported.

$\begin{array}{l}{H}_0:\text{EOT}=b_0+b_{\text{Age}}\text{Age}+b_{\text{Sex}}\text{Sex}+b_{\cancel{\text{T0}}}\cancel{\text{T0}}+\epsilon \\ H_1:\text{EOT}=b_0+b_{\text{Therapy}}\text{Therapy}+b_{\text{Age}}\text{Age}+b_{\text{Sex}}\text{Sex}+b_{\cancel{\text{T0}}}\cancel{\text{T0}}+\epsilon \\ F\left(H_1-H_0\right)\end{array}$

• Correctly identified the problem as a group comparison with covariate adjustment.
• The covariates $\text{T0}$ were erroneously excluded from the model.
• The correct strata $\text{Sex}$ were included in the model.
• The post-randomization variable(s) $\text{FU}$ were correctly excluded from the statistical model.
• Correctly excluded any treatment-by-covariate interactions from the analysis.
• The $F$-ratio for $\text{Therapy}$ has been reported.

$\begin{array}{l}{H}_0:\text{EOT}=b_0+b_{\text{T0}}\text{T0}+b_{\boxed{\text{Therapy:T0}}}\boxed{\text{Therapy:T0}}+b_{\boxed{\text{FU}}}\boxed{\text{FU}}+b_{\cancel{\text{Sex}}}\cancel{\text{Sex}}+b_{\cancel{\text{Age}}}\cancel{\text{Age}}+\epsilon \\ H_1:\text{EOT}=b_0+b_{\text{Therapy}}\text{Therapy}+b_{\text{T0}}\text{T0}+b_{\boxed{\text{Therapy:T0}}}\boxed{\text{Therapy:T0}}+b_{\boxed{\text{FU}}}\boxed{\text{FU}}+b_{\cancel{\text{Sex}}}\cancel{\text{Sex}}+b_{\cancel{\text{Age}}}\cancel{\text{Age}}+\epsilon \\ F\left(H_1-H_0\right)\end{array}$

• Correctly identified the problem as a group comparison with covariate adjustment.
• The covariates $\text{Age}$ were erroneously excluded from the model.
• The relevant stratification variable(s) $\text{Sex}$ were erroneously excluded from the statistical model.
• The distractor variable(s) $\text{FU}$ were erroneously included in the model.
• The following treatment-by-covariate interaction(s) were erroneously included in the model: $\text{Therapy:T0}$.
• The $F$-ratio for $\text{Therapy}$ has been reported.

$\begin{array}{l}{H}_0:\text{EOT}=b_0+b_{\text{T0}}\text{T0}+b_{\boxed{\text{FU}}}\boxed{\text{FU}}+b_{\cancel{\text{Sex}}}\cancel{\text{Sex}}+b_{\cancel{\text{Age}}}\cancel{\text{Age}}+\epsilon \\ H_1:\text{EOT}=b_0+b_{\text{Therapy}}\text{Therapy}+b_{\text{T0}}\text{T0}+b_{\boxed{\text{FU}}}\boxed{\text{FU}}+b_{\cancel{\text{Sex}}}\cancel{\text{Sex}}+b_{\cancel{\text{Age}}}\cancel{\text{Age}}+\epsilon \\ F\left(H_1-H_0\right)\end{array}$

• Correctly identified the problem as a group comparison with covariate adjustment.
• The covariates $\text{Age}$ were erroneously excluded from the model.
• The relevant stratification variable(s) $\text{Sex}$ were erroneously excluded from the statistical model.
• The distractor variable(s) $\text{FU}$ were erroneously included in the model.
• Correctly excluded any treatment-by-covariate interactions from the analysis.
• The $F$-ratio for $\text{Therapy}$ has been reported.

$\begin{array}{l}{H}_0:\text{EOT}=b_0+b_{\text{T0}}\text{T0}+b_{\boxed{\text{Therapy:T0}}}\boxed{\text{Therapy:T0}}+b_{\cancel{\text{Sex}}}\cancel{\text{Sex}}+b_{\cancel{\text{Age}}}\cancel{\text{Age}}+\epsilon \\ H_1:\text{EOT}=b_0+b_{\text{Therapy}}\text{Therapy}+b_{\text{T0}}\text{T0}+b_{\boxed{\text{Therapy:T0}}}\boxed{\text{Therapy:T0}}+b_{\cancel{\text{Sex}}}\cancel{\text{Sex}}+b_{\cancel{\text{Age}}}\cancel{\text{Age}}+\epsilon \\ F\left(H_1-H_0\right)\end{array}$

• Correctly identified the problem as a group comparison with covariate adjustment.
• The covariates $\text{Age}$ were erroneously excluded from the model.
• The relevant stratification variable(s) $\text{Sex}$ were erroneously excluded from the statistical model.
• The post-randomization variable(s) $\text{FU}$ were correctly excluded from the statistical model.
• The following treatment-by-covariate interaction(s) were erroneously included in the model: $\text{Therapy:T0}$.
• The $F$-ratio for $\text{Therapy}$ has been reported.

$\begin{array}{l}{H}_0:\text{EOT}=b_0+b_{\text{T0}}\text{T0}+b_{\cancel{\text{Sex}}}\cancel{\text{Sex}}+b_{\cancel{\text{Age}}}\cancel{\text{Age}}+\epsilon \\ H_1:\text{EOT}=b_0+b_{\text{Therapy}}\text{Therapy}+b_{\text{T0}}\text{T0}+b_{\cancel{\text{Sex}}}\cancel{\text{Sex}}+b_{\cancel{\text{Age}}}\cancel{\text{Age}}+\epsilon \\ F\left(H_1-H_0\right)\end{array}$

• Correctly identified the problem as a group comparison with covariate adjustment.
• The covariates $\text{Age}$ were erroneously excluded from the model.
• The relevant stratification variable(s) $\text{Sex}$ were erroneously excluded from the statistical model.
• The post-randomization variable(s) $\text{FU}$ were correctly excluded from the statistical model.
• Correctly excluded any treatment-by-covariate interactions from the analysis.
• The $F$-ratio for $\text{Therapy}$ has been reported.

$\begin{array}{l}{H}_0:\text{EOT}=b_0+b_{\text{Age}}\text{Age}+b_{\text{T0}}\text{T0}+b_{\text{Sex}}\text{Sex}+b_{\boxed{\text{Therapy:sex:T0:age}}}\boxed{\text{Therapy:sex:T0:age}}+b_{\boxed{\text{Therapy:sex:T0}}}\boxed{\text{Therapy:sex:T0}}+b_{\boxed{\text{Therapy:sex:age}}}\boxed{\text{Therapy:sex:age}}+b_{\boxed{\text{Therapy:sex}}}\boxed{\text{Therapy:sex}}+b_{\boxed{\text{Therapy:T0:age}}}\boxed{\text{Therapy:T0:age}}+b_{\boxed{\text{Therapy:T0}}}\boxed{\text{Therapy:T0}}+b_{\boxed{\text{Therapy:age}}}\boxed{\text{Therapy:age}}+b_{\boxed{\text{FU}}}\boxed{\text{FU}}+\epsilon \\ H_1:\text{EOT}=b_0+b_{\text{Therapy}}\text{Therapy}+b_{\text{Age}}\text{Age}+b_{\text{T0}}\text{T0}+b_{\text{Sex}}\text{Sex}+b_{\boxed{\text{Therapy:sex:T0:age}}}\boxed{\text{Therapy:sex:T0:age}}+b_{\boxed{\text{Therapy:sex:T0}}}\boxed{\text{Therapy:sex:T0}}+b_{\boxed{\text{Therapy:sex:age}}}\boxed{\text{Therapy:sex:age}}+b_{\boxed{\text{Therapy:sex}}}\boxed{\text{Therapy:sex}}+b_{\boxed{\text{Therapy:T0:age}}}\boxed{\text{Therapy:T0:age}}+b_{\boxed{\text{Therapy:T0}}}\boxed{\text{Therapy:T0}}+b_{\boxed{\text{Therapy:age}}}\boxed{\text{Therapy:age}}+b_{\boxed{\text{FU}}}\boxed{\text{FU}}+\epsilon \\ F\left(H_1-H_0\right)\end{array}$

• Correctly identified the problem as a group comparison with covariate adjustment.
• The correct covariates $\text{T0}+\text{Age}$ were included in the model.
• The correct strata $\text{Sex}$ were included in the model.
• The distractor variable(s) $\text{FU}$ were erroneously included in the model.
• The following treatment-by-covariate interaction(s) were erroneously included in the model: $\text{Therapy:age}+\text{Therapy:T0}+\text{Therapy:T0:age}+\text{Therapy:sex}+\text{Therapy:sex:age}+\text{Therapy:sex:T0}+\text{Therapy:sex:T0:age}$.
• The $F$-ratio for $\text{Therapy}$ has been reported.

$\begin{array}{l}{H}_0:\text{EOT}=b_0+b_{\text{Age}}\text{Age}+b_{\text{T0}}\text{T0}+b_{\text{Sex}}\text{Sex}+b_{\boxed{\text{FU}}}\boxed{\text{FU}}+\epsilon \\ H_1:\text{EOT}=b_0+b_{\text{Therapy}}\text{Therapy}+b_{\text{Age}}\text{Age}+b_{\text{T0}}\text{T0}+b_{\text{Sex}}\text{Sex}+b_{\boxed{\text{FU}}}\boxed{\text{FU}}+\epsilon \\ F\left(H_1-H_0\right)\end{array}$

• Correctly identified the problem as a group comparison with covariate adjustment.
• The correct covariates $\text{T0}+\text{Age}$ were included in the model.
• The correct strata $\text{Sex}$ were included in the model.
• The distractor variable(s) $\text{FU}$ were erroneously included in the model.
• Correctly excluded any treatment-by-covariate interactions from the analysis.
• The $F$-ratio for $\text{Therapy}$ has been reported.

$\begin{array}{l}{H}_0:\text{EOT}=b_0+b_{\text{Age}}\text{Age}+b_{\text{T0}}\text{T0}+b_{\text{Sex}}\text{Sex}+b_{\boxed{\text{Therapy:sex:T0:age}}}\boxed{\text{Therapy:sex:T0:age}}+b_{\boxed{\text{Therapy:sex:T0}}}\boxed{\text{Therapy:sex:T0}}+b_{\boxed{\text{Therapy:sex:age}}}\boxed{\text{Therapy:sex:age}}+b_{\boxed{\text{Therapy:sex}}}\boxed{\text{Therapy:sex}}+b_{\boxed{\text{Therapy:T0:age}}}\boxed{\text{Therapy:T0:age}}+b_{\boxed{\text{Therapy:T0}}}\boxed{\text{Therapy:T0}}+b_{\boxed{\text{Therapy:age}}}\boxed{\text{Therapy:age}}+\epsilon \\ H_1:\text{EOT}=b_0+b_{\text{Therapy}}\text{Therapy}+b_{\text{Age}}\text{Age}+b_{\text{T0}}\text{T0}+b_{\text{Sex}}\text{Sex}+b_{\boxed{\text{Therapy:sex:T0:age}}}\boxed{\text{Therapy:sex:T0:age}}+b_{\boxed{\text{Therapy:sex:T0}}}\boxed{\text{Therapy:sex:T0}}+b_{\boxed{\text{Therapy:sex:age}}}\boxed{\text{Therapy:sex:age}}+b_{\boxed{\text{Therapy:sex}}}\boxed{\text{Therapy:sex}}+b_{\boxed{\text{Therapy:T0:age}}}\boxed{\text{Therapy:T0:age}}+b_{\boxed{\text{Therapy:T0}}}\boxed{\text{Therapy:T0}}+b_{\boxed{\text{Therapy:age}}}\boxed{\text{Therapy:age}}+\epsilon \\ F\left(H_1-H_0\right)\end{array}$

• Correctly identified the problem as a group comparison with covariate adjustment.
• The correct covariates $\text{T0}+\text{Age}$ were included in the model.
• The correct strata $\text{Sex}$ were included in the model.
• The post-randomization variable(s) $\text{FU}$ were correctly excluded from the statistical model.
• The following treatment-by-covariate interaction(s) were erroneously included in the model: $\text{Therapy:age}+\text{Therapy:T0}+\text{Therapy:T0:age}+\text{Therapy:sex}+\text{Therapy:sex:age}+\text{Therapy:sex:T0}+\text{Therapy:sex:T0:age}$.
• The $F$-ratio for $\text{Therapy}$ has been reported.

$\begin{array}{l}{H}_0:\text{EOT}=b_0+b_{\text{Sex}}\text{Sex}+b_{\boxed{\text{Therapy:sex}}}\boxed{\text{Therapy:sex}}+b_{\boxed{\text{FU}}}\boxed{\text{FU}}+b_{\cancel{\text{Age}}}\cancel{\text{Age}}+b_{\cancel{\text{T0}}}\cancel{\text{T0}}+\epsilon \\ H_1:\text{EOT}=b_0+b_{\text{Therapy}}\text{Therapy}+b_{\text{Sex}}\text{Sex}+b_{\boxed{\text{Therapy:sex}}}\boxed{\text{Therapy:sex}}+b_{\boxed{\text{FU}}}\boxed{\text{FU}}+b_{\cancel{\text{Age}}}\cancel{\text{Age}}+b_{\cancel{\text{T0}}}\cancel{\text{T0}}+\epsilon \\ F\left(H_1-H_0\right)\end{array}$

• Correctly identified the problem as a group comparison with covariate adjustment.
• The covariates $\text{T0}+\text{Age}$ were erroneously excluded from the model.
• The correct strata $\text{Sex}$ were included in the model.
• The distractor variable(s) $\text{FU}$ were erroneously included in the model.
• The following treatment-by-covariate interaction(s) were erroneously included in the model: $\text{Therapy:sex}$.
• The $F$-ratio for $\text{Therapy}$ has been reported.

$\begin{array}{l}{H}_0:\text{EOT}=b_0+b_{\text{Sex}}\text{Sex}+b_{\boxed{\text{FU}}}\boxed{\text{FU}}+b_{\cancel{\text{Age}}}\cancel{\text{Age}}+b_{\cancel{\text{T0}}}\cancel{\text{T0}}+\epsilon \\ H_1:\text{EOT}=b_0+b_{\text{Therapy}}\text{Therapy}+b_{\text{Sex}}\text{Sex}+b_{\boxed{\text{FU}}}\boxed{\text{FU}}+b_{\cancel{\text{Age}}}\cancel{\text{Age}}+b_{\cancel{\text{T0}}}\cancel{\text{T0}}+\epsilon \\ F\left(H_1-H_0\right)\end{array}$

• Correctly identified the problem as a group comparison with covariate adjustment.
• The covariates $\text{T0}+\text{Age}$ were erroneously excluded from the model.
• The correct strata $\text{Sex}$ were included in the model.
• The distractor variable(s) $\text{FU}$ were erroneously included in the model.
• Correctly excluded any treatment-by-covariate interactions from the analysis.
• The $F$-ratio for $\text{Therapy}$ has been reported.

$\begin{array}{l}{H}_0:\text{EOT}=b_0+b_{\text{Sex}}\text{Sex}+b_{\boxed{\text{Therapy:sex}}}\boxed{\text{Therapy:sex}}+b_{\cancel{\text{Age}}}\cancel{\text{Age}}+b_{\cancel{\text{T0}}}\cancel{\text{T0}}+\epsilon \\ H_1:\text{EOT}=b_0+b_{\text{Therapy}}\text{Therapy}+b_{\text{Sex}}\text{Sex}+b_{\boxed{\text{Therapy:sex}}}\boxed{\text{Therapy:sex}}+b_{\cancel{\text{Age}}}\cancel{\text{Age}}+b_{\cancel{\text{T0}}}\cancel{\text{T0}}+\epsilon \\ F\left(H_1-H_0\right)\end{array}$

• Correctly identified the problem as a group comparison with covariate adjustment.
• The covariates $\text{T0}+\text{Age}$ were erroneously excluded from the model.
• The correct strata $\text{Sex}$ were included in the model.
• The post-randomization variable(s) $\text{FU}$ were correctly excluded from the statistical model.
• The following treatment-by-covariate interaction(s) were erroneously included in the model: $\text{Therapy:sex}$.
• The $F$-ratio for $\text{Therapy}$ has been reported.

$\begin{array}{l}{H}_0:\text{EOT}=b_0+b_{\text{Sex}}\text{Sex}+b_{\cancel{\text{Age}}}\cancel{\text{Age}}+b_{\cancel{\text{T0}}}\cancel{\text{T0}}+\epsilon \\ H_1:\text{EOT}=b_0+b_{\text{Therapy}}\text{Therapy}+b_{\text{Sex}}\text{Sex}+b_{\cancel{\text{Age}}}\cancel{\text{Age}}+b_{\cancel{\text{T0}}}\cancel{\text{T0}}+\epsilon \\ F\left(H_1-H_0\right)\end{array}$

• Correctly identified the problem as a group comparison with covariate adjustment.
• The covariates $\text{T0}+\text{Age}$ were erroneously excluded from the model.
• The correct strata $\text{Sex}$ were included in the model.
• The post-randomization variable(s) $\text{FU}$ were correctly excluded from the statistical model.
• Correctly excluded any treatment-by-covariate interactions from the analysis.
• The $F$-ratio for $\text{Therapy}$ has been reported.

$\begin{array}{l}{H}_0:\text{EOT}=b_0+b_{\text{T0}}\text{T0}+b_{\text{Sex}}\text{Sex}+b_{\boxed{\text{Therapy:sex:T0}}}\boxed{\text{Therapy:sex:T0}}+b_{\boxed{\text{Therapy:sex}}}\boxed{\text{Therapy:sex}}+b_{\boxed{\text{Therapy:T0}}}\boxed{\text{Therapy:T0}}+b_{\boxed{\text{FU}}}\boxed{\text{FU}}+b_{\cancel{\text{Age}}}\cancel{\text{Age}}+\epsilon \\ H_1:\text{EOT}=b_0+b_{\text{Therapy}}\text{Therapy}+b_{\text{T0}}\text{T0}+b_{\text{Sex}}\text{Sex}+b_{\boxed{\text{Therapy:sex:T0}}}\boxed{\text{Therapy:sex:T0}}+b_{\boxed{\text{Therapy:sex}}}\boxed{\text{Therapy:sex}}+b_{\boxed{\text{Therapy:T0}}}\boxed{\text{Therapy:T0}}+b_{\boxed{\text{FU}}}\boxed{\text{FU}}+b_{\cancel{\text{Age}}}\cancel{\text{Age}}+\epsilon \\ F\left(H_1-H_0\right)\end{array}$

• Correctly identified the problem as a group comparison with covariate adjustment.
• The covariates $\text{Age}$ were erroneously excluded from the model.
• The correct strata $\text{Sex}$ were included in the model.
• The distractor variable(s) $\text{FU}$ were erroneously included in the model.
• The following treatment-by-covariate interaction(s) were erroneously included in the model: $\text{Therapy:T0}+\text{Therapy:sex}+\text{Therapy:sex:T0}$.
• The $F$-ratio for $\text{Therapy}$ has been reported.

$\begin{array}{l}{H}_0:\text{EOT}=b_0+b_{\text{T0}}\text{T0}+b_{\text{Sex}}\text{Sex}+b_{\boxed{\text{FU}}}\boxed{\text{FU}}+b_{\cancel{\text{Age}}}\cancel{\text{Age}}+\epsilon \\ H_1:\text{EOT}=b_0+b_{\text{Therapy}}\text{Therapy}+b_{\text{T0}}\text{T0}+b_{\text{Sex}}\text{Sex}+b_{\boxed{\text{FU}}}\boxed{\text{FU}}+b_{\cancel{\text{Age}}}\cancel{\text{Age}}+\epsilon \\ F\left(H_1-H_0\right)\end{array}$

• Correctly identified the problem as a group comparison with covariate adjustment.
• The covariates $\text{Age}$ were erroneously excluded from the model.
• The correct strata $\text{Sex}$ were included in the model.
• The distractor variable(s) $\text{FU}$ were erroneously included in the model.
• Correctly excluded any treatment-by-covariate interactions from the analysis.
• The $F$-ratio for $\text{Therapy}$ has been reported.

$\begin{array}{l}{H}_0:\text{EOT}=b_0+b_{\text{T0}}\text{T0}+b_{\text{Sex}}\text{Sex}+b_{\boxed{\text{Therapy:sex:T0}}}\boxed{\text{Therapy:sex:T0}}+b_{\boxed{\text{Therapy:sex}}}\boxed{\text{Therapy:sex}}+b_{\boxed{\text{Therapy:T0}}}\boxed{\text{Therapy:T0}}+b_{\cancel{\text{Age}}}\cancel{\text{Age}}+\epsilon \\ H_1:\text{EOT}=b_0+b_{\text{Therapy}}\text{Therapy}+b_{\text{T0}}\text{T0}+b_{\text{Sex}}\text{Sex}+b_{\boxed{\text{Therapy:sex:T0}}}\boxed{\text{Therapy:sex:T0}}+b_{\boxed{\text{Therapy:sex}}}\boxed{\text{Therapy:sex}}+b_{\boxed{\text{Therapy:T0}}}\boxed{\text{Therapy:T0}}+b_{\cancel{\text{Age}}}\cancel{\text{Age}}+\epsilon \\ F\left(H_1-H_0\right)\end{array}$

• Correctly identified the problem as a group comparison with covariate adjustment.
• The covariates $\text{Age}$ were erroneously excluded from the model.
• The correct strata $\text{Sex}$ were included in the model.
• The post-randomization variable(s) $\text{FU}$ were correctly excluded from the statistical model.
• The following treatment-by-covariate interaction(s) were erroneously included in the model: $\text{Therapy:T0}+\text{Therapy:sex}+\text{Therapy:sex:T0}$.
• The $F$-ratio for $\text{Therapy}$ has been reported.

$\begin{array}{l}{H}_0:\text{EOT}=b_0+b_{\text{T0}}\text{T0}+b_{\text{Sex}}\text{Sex}+b_{\cancel{\text{Age}}}\cancel{\text{Age}}+\epsilon \\ H_1:\text{EOT}=b_0+b_{\text{Therapy}}\text{Therapy}+b_{\text{T0}}\text{T0}+b_{\text{Sex}}\text{Sex}+b_{\cancel{\text{Age}}}\cancel{\text{Age}}+\epsilon \\ F\left(H_1-H_0\right)\end{array}$

• Correctly identified the problem as a group comparison with covariate adjustment.
• The covariates $\text{Age}$ were erroneously excluded from the model.
• The correct strata $\text{Sex}$ were included in the model.
• The post-randomization variable(s) $\text{FU}$ were correctly excluded from the statistical model.
• Correctly excluded any treatment-by-covariate interactions from the analysis.
• The $F$-ratio for $\text{Therapy}$ has been reported.