MCQ Flashcards
What is multicollinearity?
When predictor variables correlate very highly with each other
When checking assumption fo regression, what does this graph tell you?
Normality of residuals
Which of the following statements about the t-statistic in regression is not true?
The t-statistic is equal to the regression coefficient divided by its standard deviation
The t-statistic tests whether the regression coefficient, b, is significantly different from 0
The t-statistic provides some idea of how well a predictor predicts the outcome variable
The t-statistic can be used to see whether a predictor variables makes a statistically significant contribution to the regression model
The t-statistic is equal to the regression coefficient divided by its standard deviation
A consumer researcher was interested in what factors influence people’s fear responses to horror films. She measured gender and how much a person is prone to believe in things that are not real (fantasy proneness). Fear responses were measured too. In this table, what does the value 847.685 represent?
The residual error in the prediction of fear scores when both gender and fantasy proneness are included as predictors in the model.
A psychologist was interested in whether the amount of news people watch predicts how depressed they are. In this table, what does the value 3.030 represent?
The improvement in the prediction of depression by fitting the model
When checking the assumption of the regression, the following graph shows (hint look at axis titles)
Regression assumptions that have been met
A consumer researcher was interested in what factors influence people’s fear responses to horror films. She measured gender (0 = female, 1 = male) and how much a person is prone to believe in things that are not real (fantasy proneness) on a scale from 0 to 4 (0 = not at all fantasy prone, 4 = very fantasy prone). Fear responses were measured on a scale from 0 (not at all scared) to 15 (the most scared I have ever felt).
Based on the information from model 2 in the table, what is the likely population value of the parameter describing the relationship between gender and fear?
Somewhere between −3.369 and −0.517
A consumer researcher was interested in what factors influence people’s fear responses to horror films. She measured gender (0 = female, 1 = male) and how much a person is prone to believe in things that are not real (fantasy proneness) on a scale from 0 to 4 (0 = not at all fantasy prone, 4 = very fantasy prone). Fear responses were measured on a scale from 0 (not at all scared) to 15 (the most scared I have ever felt).
How much variance (as a percentage) in fear is shared by gender and fantasy proneness in the population?
13.5%
Recent research has shown that lecturers are among the most stressed workers. A researcher wanted to know exactly what it was about being a lecturer that created this stress and subsequent burnout. She recruited 75 lecturers and administered several questionnaires that measured: Burnout (high score = burnt out), Perceived Control (high score = low perceived control), Coping Ability (high score = low ability to cope with stress), Stress from Teaching (high score = teaching creates a lot of stress for the person), Stress from Research (high score = research creates a lot of stress for the person), and Stress from Providing Pastoral Care (high score = providing pastoral care creates a lot of stress for the person). The outcome of interest was burnout, and Cooper’s (1988) model of stress indicates that perceived control and coping style are important predictors of this variable. The remaining predictors were measured to see the unique contribution of different aspects of a lecturer’s work to their burnout.
Which of the predictor variables does not predict burnout?
Stress from research
Using the information from model 3, how would you interpret the beta value for ‘stress from teaching’?
As stress from teaching increases by one unit, burnout decreases by 0.36 of a unit.
How much variance in burnout does the final model explain for the sample?
80.3%
A psychologist was interested in predicting how depressed people are from the amount of news they watch. Based on the output, do you think the psychologist will end up with a model that can be generalized beyond the sample?
No, because the errors show heteroscedasticity.
For the initial model the F-ratio is 99.587, which is very unlikely to
have happened by chance (p < .001). For the second model the value of F is even higher
(129.498), which is also highly significant (p < .001)
what can you interpret these results as?
An independent t-test is used to test for:
A Differences between means of groups containing different participants when the sampling distribution is normal, the groups have equal variances and data are at least interval.
B Differences between means of groups containing different participants when the data are not normally distributed or have unequal variances.
C Differences between means of groups containing the same participants when the data are normally distributed, have equal variances and data are at least interval.
D Differences between means of groups containing the same participants when the sampling distribution is not normally distributed and the data do not have unequal variances.
A differences between means of groups containing different participants when sampling distribution is normal and the groups have equal variances and data are at least interva
If you use a piared samples t-test
A The same participants take part in both experimental conditions.
BThere ought to be less unsystematic variance compared to the independent t-test.
C Other things being equal, you do not need as many participants as you would for an independent samples design.
D All of these are correct.
D All of these are correct
Which of the following statements about the t distribution is correct?
A It is skewed
BIn small samples it is narrower than the normal distribution
CAs the degrees of freedom increase, the distribution becomes closer to normal
DIt follows an exponential curve
C As the DF increase, the distribution becomes closer to normal
Which of the following sentences is an accurate description of the standard error?
AIt is the same as the standard deviation
BIt is the observed difference between sample means minus the expected difference between population means (if the null hypothesis is true)
CIt is the standard deviation of the sampling distribution of a statistic
D It is the standard deviation squared
CIt is the standard deviation of the sampling distribution of a statistic
A psychologist was interested in whether there was a gender difference in the use of email. She hypothesized that because women are generally better communicators than men, they would spend longer using email than their male counterparts. To test this hypothesis, the researcher sat by the computers in her research methods laboratory and when someone started using email, she noted whether they were male or female and then timed how long they spent using email (in minutes). Based on the output, what should she report?
(NOTE: Check for the assumption of equality of variances).
A Females spent significantly longer using email than males, t(14) = –1.90, p = .079
BFemales and males did not significantly differ in the time spent using email,t(7.18) = –1.90,p= .099
CFemales and males did not significantly differ in the time spent using email, t(7.18) = –1.90, p < .003
DFemales and males did not significantly differ in the time spent using email, t(14) = –1.90, p = .079
BFemales and males did not significantly differ in the time spent using email,t(7.18) = –1.90,p= .099
Other things being equal, compared to the paired-samples (or dependent)t-test, the independentt-test:
A Has more power to find an effect.
BHas the same amount of power, the data are just collected differently.
CHas less power to find an effect.
D Is less robust.
CHas less power to find an effect.
Differences between group means can be characterized as a regression (linear) model if:
AThe outcome variable is categorical.
BThe groups have equal sample size.
CThe experimental groups are represented by a binary variable (i.e. code 1 and 0).
DThe difference between group means cannot be characterized as a llinear model, they must be analyzed as an independent t-test.
The experimental groups are represented by a binary variable (i.e. code 1 and 0)
An experiment was done to look at whether different relaxation techniques could predict sleep quality better than nothing. A sample of 400 participants were randomly allocated to one of four groups: massage, hot bath, reading or nothing. For one month each participant received one of these relaxation techniques for 30 minutes before going to bed each night. A special device was attached to the participant’s wrist that recorded their quality of sleep, providing them with a score out of 100. The outcome was the average quality of sleep score over the course of the month.
Which test could we use to analyse these data?
A Regression only
B ANOVA only
C Regression or ANOVA
D Chi-square
C (multiple) Regression or ANOVA (independent) as regression and ANOVA is the same
Did not mention the hypothesis of prediction or it would be regression
Chi-square only used when you have one categorical predictor and outcome is categorical
A researcher testing the effects of two treatments for anxiety computed a 95% confidence interval for the difference between the mean of treatment 1 and the mean of treatment 2. If this confidence interval includes the value of zero, then she cannot conclude that there is a significant difference in the treatment means: true or false.
TRUE OR FALSE
TRUE
The student welfare office was interested in trying to enhance students’ exam performance by investigating the effects of various interventions. They took five groups of students before their statistics exams and gave them one of five interventions: (1) a control group just sat in a room contemplating the task ahead; (2) the second group had a yoga class to relax them; (3) the third group were told they would get monetary rewards contingent upon the grade they received in the exam; (4) the fourth group were given beta-blockers to calm their nerves; and (5) the fifth group were encouraged to sit around winding each other up about how much revision they had/hadn’t done (a bit like what usually happens). The final percentage obtained in the exam was the dependent variable. Using the critical values for F, how would you report the result in the table below?
AType of intervention did not have a significant effect on levels of exam performance, F(4, 29) = 12.43, p > .05.
BType of intervention had a significant effect on levels of exam performance, F(4, 29) = 12.43, p < .01.
CType of intervention did not have a significant effect on levels of exam performance, F(4, 33) = 12.43, p > .01.
DType of intervention had a significant effect on levels of exam performance, F(4, 33) = 12.43, p < .01.
Type of intervention had a significant effect on levels of exam performance, F(4, 29) = 12.43, p < .01.
Imagine you compare the effectiveness of four different types of stimulant to keep you awake while revising statistics using a one-way ANOVA. The null hypothesis would be that all four treatments have the same effect on the mean time kept awake. How would you interpret the alternative hypothesis?
A. All four stimulants have different effects on the mean time spent awake
B, All stimulants will increase mean time spent awake compared to taking nothing
C. At least two of the stimulants will have different effects on the mean time spent awake
D, None of the above
C. At least two of the stimulants will have different effects on the mean time spent awake