Stats Decision Tree
- 1. CategoricalQuantitative How many proportions? One Two Three or more One Proportion Z Two Proportion Z Chi-Square How many means? Is sigma known? One mean Yes No Two means Are the data paired?* Yes No Three or more One Sample Z One Sample t Two Sample t Dependent Two Sample t Independent ANOVA Regression Ηo : Ηa : All means are equal. At least one mean is different. Ηo :μd = 0 Ηa :μd > < ≠ ⎧ ⎨ ⎪ ⎩ ⎪ ⎫ ⎬ ⎪ ⎭ ⎪ 0 Ηo :μ1 = μ2 Ηa :μ1 > < ≠ ⎧ ⎨ ⎪ ⎩ ⎪ ⎫ ⎬ ⎪ ⎭ ⎪ μ2 Ηo :μ = μo Ηa :μ > < ≠ ⎧ ⎨ ⎪ ⎩ ⎪ ⎫ ⎬ ⎪ ⎭ ⎪ μo Z = X − μo σ Ηo :p = po Ηa :p > < ≠ ⎧ ⎨ ⎪ ⎩ ⎪ ⎫ ⎬ ⎪ ⎭ ⎪ po Ηo :p1 = p2 Ηa :p1 > < ≠ ⎧ ⎨ ⎪ ⎩ ⎪ ⎫ ⎬ ⎪ ⎭ ⎪ p2 Ηo : Ηa : The row variable and the column variable are independent. The row variable and the column variable are NOT independent. Ηo :β1 =0 Ηa :β1 ≠0 Ηo :μ = μo Ηa :μ > < ≠ ⎧ ⎨ ⎪ ⎩ ⎪ ⎫ ⎬ ⎪ ⎭ ⎪ μo P-Value (two tailed) Are we measuring or counting? Is there a Yes/No question? Answers are means or proportions? Math Study CenterBYU IDAHO Statistical Test Decision Tree X −Z* σ n ,X +Z* σ n ⎛ ⎝ ⎜ ⎞ ⎠ ⎟ Equation Confidence Interval Z-Score SPSS Guide Use Excel SPSS Guide Use Excel SPSS Guide Use Excel SPSS Guide Pg. 8 SPSS Guide Pg. 11 SPSS Guide Pg. 16 SPSS Guide Pg. 34 221B/C ask a tutor for the SPSS Guide SPSS Guide Pg. 18 Confidence Interval None Confidence Interval None Confidence Interval Use Software Confidence Interval Use Software Confidence Interval Use Software Does it make sense to subtract column 2 from column 1? p value <α Reject the Null Type I Error Rejecting the truth Right Skewed YesNo Is the test before and after? * Do subjects from column 1 have to match subjects from column 2? Confidence Interval Use Software Confidence Interval Use Software Confidence Interval Use Software m= z* σ n n= z* σ m ⎛ ⎝ ⎜ ⎞ ⎠ ⎟ n: Sample Size m: Margin of Error m= z* p 1− p( ) n n= z* m ⎛ ⎝ ⎜ ⎞ ⎠ ⎟ 2 p 1− p( ) n: Sample Size m: Margin of Error Median Mean