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## Experiment 1: Effect of Speed Type ## A general linear model takes the form: $$SD \sim \beta_0 + speed + type + speed \times type$$ where $speed$ is a continuous independent variable in units of octaves, and $type$ is coded as a categorical independent variable. **EXP1stats.R** performs the following statistical analyses: 1. Confirm the normality of the data 2. Generate the general linear model 3. Perform a two-way ANOVA 4. Calculate partial eta squared 5. Due to significant interaction, remove the interaction term and rerun a simple main effects model 6. Analyze simple main effects of $speed$ for each $type$ 7. Run pairwise comparisons between $type$ ## Experiment 2: Effect of Reference Frame Speed Shift ## A multiple linear regression takes the form: $$SD \sim \beta_0 + speed + shift + speed \times shift$$ where $speed$ and $shift$ are continuous independent variables. **EXP2stats.R** performs the following statistical analyses: 1. Confirm the normality of the data 2. Generate the multiple linear regression 3. Due to insignificant interaction, remove the interaction term 4. Analyze main effects of $speed$ and $shift$ A post-hoc multiple linear regression takes the form: $$rate \sim \beta_0 + speed + shift + speed \times shift$$ where $speed$ and $shift$ are continuous independent variables. **EXP2stats.R** continues with the following post-hoc statistical analyses: 5. Confirm the normality of the data 6. Generate the multiple linear regression 7. Due to insignificant interaction, remove the interaction term 8. Analyze main effects of $speed$ and $shift$ ## Experiment 3: Effect of Audio Feedback ## A general linear model takes the form: $$SD \sim \beta_0 + speed + feedback + speed \times feedback$$ where $speed$ is coded as a continuous independent variable and $feedback$ is coded as a discrete independent variable. **EXP1stats.R** performs the following statistical analyses: 1. Confirm the normality of the data 2. Generate the general linear model 3. Perform a two-way ANOVA 4. Calculate partial eta squared 5. Due to significant interaction, remove the interaction term and rerun a simple main effects model 6. Analyze simple main effects of $speed$ for each $feedback$ 7. Run pairwise comparison between $feedback$