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# Psych Research Pt 5

### Formulas

Question | Answer |
---|---|

Mathematical Relationship Between t and F Distributions | (t(x))^2 = F (1, x) |

Proportion of Variance Accounted For | r^2 |

Latin Square | as many rows/columns as there are levels; top is labeled Treatment Order, left is labeled Subjects/Subject Groups |

Sums of Squares Formula | SS = E(X-Xbar)^2 E is the sum of X = # in data set Xbar = mean |

When to Use: Test of a Single Sample Mean | used to compare the mean of one sample to the standard value |

When to Use: Between Subjects t-Test | used to compare the means from between subjects designs that have one IV w/ exactly 2 levels |

When to Use: Within Subjects t-Test | used to compare means from within subjects designs that have one IV w/ exactly 2 levels |

When to Use: Between Subjects One-Way ANOVA | to compare the means from between subjects designs that have one IV w/ more than 2 levels |

When to Use: Within Subjects One-Way ANOVA | used to compare the means from within subjects designs that have one IV w/ more than 2 levels |

When to Use: Between Subjects Factorial ANOVA | used to compare the means from between subjects designs that have 2 IVs |

When to Use: Between Subjects Variance Test | used to compare the variances from between subjects designs that have one IV w/ exactly 2 levels |

When to Use: Within Subjects Variance Test | used to compare the variances from within subjects designs that have one IV w/ exactly 2 levels |

When to Use: Correlation | to determine direction and strength of relationship between 2 variables measured on interval or ratio scale |

When to Use: Test of Independent Frequencies | to compare frequencies of different responses, when each response comes from a different subject |