Research Methods 1 Flashcards
(82 cards)
What are the assumptions of a one-way ANOVA?
- <b>Normally distributed data </b>- Most observations should be symmetrical around the mean.<div>- <b>Homogenity of variance</b> - All conditions should have similar variance</div><div>- <b>Independence of observations</b></div><div>- <b>Interval or ratio measurement </b>- Interval e.g. temperature, ratio e.g. weight, has an absolute zero</div>
What should you do if the parametric assumption in a one-way ANOVA is not satisfied?
Non-parametric equilvalent<div>For between-participants design = kruskal-wallis</div><div>For within-participants design = Friedman</div>
How do you test the assumption of homogenity of variance in ANOVA?
Levene’s test
Describe the general idea of a one-way ANOVA
Compare estimates of variance between groups.<div><br></br></div><div>
Examine differences between groups.
Only have one dependent variable.
When have one IV do a one-way ANOVA
When two IV’s do a two-way ANOVA</div>
What does an F ratio of 1 indicate?
No effect on the dependent variable being in different groups. No difference between groups
What does an F-Ratio less than 1 indicate?
There is more variability between the individuals than groups. Groups have no association with scores on the DV.
When can normality be assumed in a one-way ANOVA?
If Komogorov-Smirnov or Shapiro-Wilk tests are <b>non-significant</b>
What is the purpose of a post-hoc test?
Tells you which conditions differ from each other. Where the differences lie.
What are the parametric assumptions of a two-way between ANOVA?
- <b>Normality</b> - Normal distribution. Use Kolmogorov-Smirnov or Shapiro-Wilk if not satisfied.<div>- <b>Homogenity of variance </b>- Data from populations with equilvalent variance. Use Levene’s test</div><div>- Independence of observations</div><div>- Interval or ratio data</div>
What does an effect size of 0.01 show?
Small effect
What does an effect size of 0.06 show?
Medium effect
What does an effect size of 0.14 show?
Large effect
How many F-Ratios do you calculate in a 2-way between subjects ANOVA?
3
A factor has 2 levels is it necessary to carry out a post-hoc test?
It is unecessary as it has 2 levels
What is a main effect?
Effects of each independent variable on the dependent variable
What is an interaction effect?
The effect of the combination of the 2 independent variables on the DV
Provides more info than any single main effects. If not significant then the main effects are important.
What is a factorial ANOVA?
Used when there is more than 1 independent variable.<div><br></br></div><div>Calculates main effects and interaction effects</div>
When is there an interaction in an ANOVA?
When the pattern across one factor differs at different levels of the other factor
What are the advantages of within-participants design
Reduced error which increases power
What are the disadvantages of within-participants design?
- Practice effects - People have already done task, so may be better<div>- Carry over effects</div><div>- Needs to be built into the design of the experiment</div>
What is a type 1 error?
Rejecting a null hypothesis when it is true. There are no differences.
What is a type II error?
Accepting a null hypothesis when it is false.
Failing to observe a difference when there is one.
Reducing this is a better way of increasing power compared to type 1.
What is the power of a statistical test and what does it depend on?
The probability of correctly rejecting a false null hypothesis.
Want to increase power as it comes with increased reliability
Depends on
- Type 1 error
- Type II error
- Sample size
- Effect size
- Experimental design
- Choice of statistical test
What are the assumptions of a within-participants ANOVA?
- <b>Normality</b><div><b>- Interval or ratio data</b></div><div><b>- Sphericity </b>- This replaces homogeneity of variance About assuming that the relationship between scores in pairs of treatment conditions is similar..</div><div>- No independence of observations as there won’t be independence due to having the same people.</div>