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capitalize the reference in the menu
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dkpalmers committed Oct 11, 2024
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4 changes: 1 addition & 3 deletions _quarto.yml
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Expand Up @@ -53,9 +53,7 @@ website:
- text: "Effects Model"
file: effects_model.qmd
- text: "ANOVA and the F-test"
href: Anova_F-test.qmd
- text: "ANOVA and the F-test (alternate link)"
href: Anova_F-test.html
href: ANOVA_F-test.qmd
- text: "Assumptions"
href: assumptions.qmd
- text: "Contrasts"
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6 changes: 1 addition & 5 deletions docs/ANOVA_F-test.html
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Expand Up @@ -209,12 +209,8 @@
<span class="dropdown-text">Effects Model</span></a>
</li>
<li>
<a class="dropdown-item" href="./Anova_F-test.html">
<a class="dropdown-item" href="./ANOVA_F-test.qmd">
<span class="dropdown-text">ANOVA and the F-test</span></a>
</li>
<li>
<a class="dropdown-item" href="./Anova_F-test.html">
<span class="dropdown-text">ANOVA and the F-test (alternate link)</span></a>
</li>
<li>
<a class="dropdown-item" href="./assumptions.html">
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8 changes: 4 additions & 4 deletions docs/Anova_F-test.qmd
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Expand Up @@ -158,7 +158,7 @@ $$
With this is mind, we can fill in the F column of the ANOVA table for Treatment Factor.

| Source | df | SS | MS | F | p-value |
|:--------|:-------:|:-------:|:-------:|:-----------------------------:|:-------:|
|:---|:--:|:--:|:--:|:--:|:--:|
| Grand Mean | | | | | |
| Treatment Factor | | | | $\frac{MS_\text{Treatment Factor}}{MS_\text{Residual Error}}$ | |
| Residual Error | | | | | |
Expand Down Expand Up @@ -280,7 +280,7 @@ Recall that an effect is defined as a deviation from the mean.
Therefore, in a mean square calculation, the numerator is the sum of squares and the denominator is the degrees of freedom.
| Source | df | SS | MS | F | p-value |
|:--------|:-------:|:-------:|:-----------------:|:----------------:|:-------:|
|:---|:--:|:--:|:--:|:--:|:--:|
| Grand Mean | | | | | |
| Treatment Factor | | | $\frac{SS_\text{Treatment Factor}}{df_\text{Treatment Factor}}$ | $\frac{MS_\text{Treatment Factor}}{MS_\text{Residual Error}}$ | |
| Residual Error | | | $\frac{SS_\text{Residual Error}}{df_\text{Residual Error}}$ | | |
Expand All @@ -295,7 +295,7 @@ To avoid this problem, statisticians square the distances before summing them. T
In the table below an equation for each factor's SS is listed using terms from the factor effects model. We'll walk through the meaning of each of those equations.
| Source | df | SS | MS | F | p-value |
|:----------|:---------:|:---------:|:--------------:|:-------------:|:---------:|
|:---|:--:|:--:|:--:|:--:|:--:|
| Grand Mean | | $n*\bar{y}_\text{..}^2$ | | | |
| Treatment Factor | | $$ \sum (\hat{\alpha}_i^2*n_i)$$ | $\frac{SS_\text{Treatment Factor}}{df_\text{Treatment Factor}}$ | $\frac{MS_\text{Treatment Factor}}{MS_\text{Residual Error}}$ | |
| Residual Error | | $$ \sum \hat{\epsilon}_\text{ij}^2 $$ | $\frac{SS_\text{Residual Error}}{df_\text{Residual Error}}$ | | |
Expand Down Expand Up @@ -335,7 +335,7 @@ For additional explanation, consider this simple example. There are three data p
The example described above is summarized in @tbl-df-example. The first number is represented as an $a$ and the second number if represented with a $b$.
| value 1 | value 2 | value 3 | | Mean of 3 Values |
|:-----------:|:-----------:|:-------------------:|:-----------:|:-----------:|
|:------------:|:------------:|:---------------------------:|:---:|:----------------:|
| a | b | $3*10 - (a+b)$ | -\> | 10 |
| free to vary | free to vary | depends on other two values | | |
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