EXAM 2 REVIEW SHEET PART CHAPTER 8 & PART CHAPTER 12: DISTRIBUTION OF SAMPLE MEANS Understand conceptually the distribution of sample means (DSM) Understand conceptually the Standard Error of the mean and how it is different from the standard deviation Understand the Central Limit Theorem Know the mean (expected value), standard deviation & shape of the DSM Understand the meaning of the standard error as a measure of chance Know what factors influence the size of the standard error and how Know how to compute the probability associated with a particular X Know how to compute the probability associated with a particular X CHAPTER 8: HYPOTHESIS TESTING Understand the general logic of hypothesis testing Know the steps involved in hypothesis testing Understand the null hypothesis (H0) and the alternative hypothesis (H1) Know how to write H0 and H1 for a one-sample z-test What is a critical value? Understand the difference between one-tailed and two-tailed tests What is the alpha level () or “level of significance”? Understand a “p-value” Probability of Type I error () Probability of Type II error () Level of Confidence (1 - ) Power (1- ) Understand the concepts of Type I Error and Type II Error How do we minimize Type I error (and increase “level of confidence”)? How do we minimize Type II error (and increase “power”)? Know how to conduct & interpret a z-test for one sample mean (1-tailed and 2-tailed) Know how to report the results of a z-test for one sample mean ONE-SAMPLE T-TEST (CHAPTER 12) Estimated standard error of the mean ( s x ) t-ratio Degrees of freedom (df) When should we use a one-sample t-test instead of a one-sample z-test? Know the properties of the sampling distribution of t In what ways is the t distribution similar to & different from the standard normal curve (z distribution)? Know how to write H1 & H0 for a one-sample t-test Know how to conduct a one-sample t-test (1-tailed & 2-tailed) Know how to report the results of a one-sample t-test in APA format RELATED SAMPLES T-TEST (CHAPTER 13) Repeated measures design vs. Matched samples design Difference score (D) Standard error of D (s D ) Know the advantages & disadvantages of using a repeated-measures design Know how to write H0 & H1 for a related-samples t-test Know how to conduct a related-sample t-test (1-tailed & 2-tailed) Know how to report the results of a related-samples t-test in APA format THE T-TEST FOR TWO INDEPENDENT SAMPLES (CHAPTER 14) Estimated standard error of the difference between 2 independent sample means ( s x1 x2 ) Pooled variance estimate (sp2) Know how to write H0 & H1 for a 2 independent samples t-test Know how to conduct a t-test for 2 independent sample means (1-tailed & 2-tailed) Know how to report the results of a t-test for 2 independent sample means in APA format What are the assumptions of the t-test for 2 independent samples and when are violations of these assumptions “serious”? THE BIG PICTURE Know how to read a research description & select (& conduct) the appropriate statistical test!!!! Be prepared to interpret SPSS output PLEASE BRING THE FOLLOWING TO THE EXAM: Pencil, eraser Calculator (non-graphing)—NO PDAs or cell phones may be used as calculators Be sure you are comfortable using all the formulas listed on the formula sheet!