Statistics for Behavioral Sciences Final Exam: ANOVA, Correlation, Chi-Square, Exams of Statistics for Psychologists

Master the final exam with key concepts: one-way/two-way ANOVA, post hoc tests (LSD, HSD), Pearson’s r, regression, chi-square, and assumptions. statistics final exam, behavioral sciences stats, ANOVA study guide, correlation and regression, chi-square test, psychology statistics, post hoc tests LSD HSD

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2025/2026

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STATISTICS FOR BEHAVIORAL SCIENCES FINAL EXAM
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1. What is the null hypothesis for ANOVA?: H0 1 2 =¼3
The means are all the same.
2. What is the alternate hypothesis for ANOVA?: H1 :¼1 `¼2 `¼3
The means differ
3. What are the 7 steps for hypothesis testing in 1 way ANOVA?: Step 1: State
null hypothesis H0 :¼1 =¼2 =¼3
Step 2: State alternative hypothesis H1 1 `¼2 3
Step 3: Set alpha level (± = .05)
Step 4: Rejection Rule
RejectH0 if Fcomp eFcrit(dfb,dfw)
Step 5: Calculate Statistics (calculate Fcomp)
Step 6: Decision
Is Fcomp greater than or equal to Fcrit
Step 7: Conclusion
F(dfb, dfw) = (Fcomp) , p (determine: > or <) .05
4. How is Mean square (MS) related to degrees of freedom (df) and sums of
squares (ss)?: MSw = SSw/dfw
5. How is mean square related to f?: F = MSb/MSw
6. What does MS tell you?: it is the variance estimate
7. What does f tell you?: determines whether or not we conclude that the samples
were drawn from the same population.
8. What does a significant F tell you?:
9. What does an F value of 1 say?: it means that there is no treatment effect
contributing to variability between groups. Basically, there is no difference be-
tween/within groups.
10. What are post hoc tests?: They are tests after the ANOVA that tell which
groups show significant differences between each other
11. What is Fisher LSD used for? What are its strengths and weaknesses?: -
Least significant difference
Compares groups one pair at a time
Has higher power than HSD
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  1. What is the null hypothesis for ANOVA?: H0 :¼1 =¼2 =¼

The means are all the same.

  1. What is the alternate hypothesis for ANOVA?: H1 :¼1 ¼2¼

The means differ

  1. What are the 7 steps for hypothesis testing in 1 way ANOVA?: Step 1: State null hypothesis H0 :¼1 =¼2 =¼ Step 2: State alternative hypothesis H1 :¼1 ¼2¼ Step 3: Set alpha level (± = .05) Step 4: Rejection Rule RejectH0 if Fcomp eFcrit(dfb,dfw) Step 5: Calculate Statistics (calculate Fcomp) Step 6: Decision Is Fcomp greater than or equal to Fcrit Step 7: Conclusion F(dfb, dfw) = (Fcomp) , p (determine: > or <).
  2. How is Mean square (MS) related to degrees of freedom (df) and sums of squares (ss)?: MSw = SSw/dfw
  3. How is mean square related to f?: F = MSb/MSw
  4. What does MS tell you?: it is the variance estimate
  5. What does f tell you?: determines whether or not we conclude that the samples were drawn from the same population.
  6. What does a significant F tell you?:
  7. What does an F value of 1 say?: it means that there is no treatment effect contributing to variability between groups. Basically, there is no difference be- tween/within groups.
  8. What are post hoc tests?: They are tests after the ANOVA that tell which groups show significant differences between each other
  9. What is Fisher LSD used for? What are its strengths and weaknesses?: - Least significant difference Compares groups one pair at a time Has higher power than HSD

No control for familiwise error Doesnt require equal sample size higher risk for type 1 error

  1. What is Tukey HSD used for? Strengths and weaknesses?: Honestly signif- icant difference needs equal numbers for groups
  1. What is the relationship between correlation and causation?: Correlation is necessary, but not sufficient for causality
  2. What is restriction of range and what effect does it have?: way in which variables measured in correlation or regression limit range, implication: correlation is shrunk
  1. What is the range of correlation values?: -1 to 1

  2. How do you generate and interpret regression equation?: Weusetheequa- tionforalinetomakepredictions ˆ Y = bX + a b: X: a: is the slope (regression coefficient) is the value of the X variable (predictor) is the intercept

How do you calculate Pearson's r?:

  1. What is the difference between Chi square goodness of fit test and a chi-square test of independence?: A chi-square test on a single categorical variable is called goodness of fit. A chi-square test on two categorical variables is called a chi square test of indepen- dence.
  2. What is the null hypothesis for a chi square test of independence?: H0 = two variables are independent (not related) o=/=e
  3. What is the alternative hypothesis for a chi square test of independence?- : H1 = two variables are non- independent (related)
  4. What are the seven steps for hypothesis testing for a chi square test of independence?: H1: o=/=e H2: o=e set alpha level =. rejection rule, reject ho if x^2 comp >+ x^2 crit compute x^ decision conclusion
  5. How do you calculate the chi square test of independence?: sum of (o-e)^2/e
  6. How do you know the degrees of freedom for chi square test of indepen-
  1. repeated measures: before, after data. E.g. study a rating of depression before and after treatment type, would use a dependent samples t test
  2. positive correlation:
  3. negative correlation:
  4. zero correlation:
  5. LSD: Least significant difference between pair of means ta sqrt(MSw (1/n1+1/n2))
  6. HSD: honestly significant difference
  7. coefficient of determination: explained variance/ total variance
  8. scatterplot:
  9. homogeneity of variance: assumption of two sample t test, population vari-

ances are the same

  1. independence assumption: assume that the two samples drawn are indepen- dent.
  1. when would you conduct a 1 way ANOVA?: IV: 3 or more nominal groups/ 3 or more levels DV: interval/ratio
  2. when would you conduct a 2 way ANOVA?: IV: 2 nominal variables with 2 or more levels each DV: interval/ratio
  1. When would you conduct a correlation test?: IV: interval/ratio DV: interval ratio Purpose: description
  2. when would you conduct a regression test?: IV: interval/ratio DV: interval ratio Purpose: prediction
  3. when would you conduct a chi square goodness of fit?: IV: 1 nominal DV: None
  4. when would you conduct a chi square test of independence?: IV: 1 nominal DV: nominal