Stats assignment

Assignment 4

This assignment covers bivariate table organization and basic analysis including calculating appropriate percentages and maximum difference, it includes chi square hypothesis testing, and nominal level tests of association (phi, cramer’s v and lambda). Please answer each question as fully as possible. This assignment is out of 109 marks.

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1. Perceived level of neighbourhood crime by victimization status 31 marks
Table 1. Shows the results of a survey about Canadian’s experiences and perceptions of neighbourhood crime. Specifically, the authors were interested in whether being victimized by a crime in your own neighborhood would cause respondents to perceive the level of crime in their neighborhoods as higher than other neighborhoods. Conversely, not having been victimized is expected to lead to perceptions of lower levels of neighborhood crime compared to other neighborhoods.

Table 1. Perceived level of neighbourhood crime by victimization status
Victim of Crime?

How much crime in neighborhood compared to others? Yes No Total
Higher 93 129 222
Same 43 155 198
Lower 19 159 178
Total 155 443 598

a. Point out the following components of this table and use roughly one sentence to describe/define each: Rows, columns, row marginals, column marginals, cells, n. (5 marks)

b. Which is the dependent and which is the independent variable here? (1 mark)

c. Calculate percentages for this table. Be sure they go in the correct direction. Do the percentages seem to show a relationship between these two variables? If yes, describe the pattern, if no, why don’t you think so? (5 marks)

d. Is there a significant relationship between these variables? Conduct the appropriate test and report. (10 marks)

e. If appropriate, calculate maximum difference and any appropriate tests of association and interpret. If not appropriate, tell me why and what this means for the researcher conducting this research (10 marks)

2. Child’s school behaviour problems by Parenting style 26 marks
The table below is investigating the relationship between a parent’s main parenting style as measured in a series of survey questions, and their child’s school related behaviour issues

Table 2. Child’s school behaviour problems by Parenting style
Main Parenting Style
Authoritative Authoritarian Indulgent Neglectful Total

Child has had a behaviour issue at school this year Yes 94 35 29 47 205
No 340 69 21 42 472
Total 434 104 50 89 677

a. Which is the dependent and which is the independent variable here? (1 mark)

b. Calculate percentages for this table. Be sure they go in the correct direction. Do the percentages seem to show a relationship between these two variables? If yes, describe the pattern, if no, why don’t you think so? (5 marks)

c. Is there a significant relationship between these variables? Conduct the appropriate test and report. (10 marks)

d. If appropriate, calculate maximum difference and any appropriate tests of association and interpret. If not appropriate, tell me why and what this means for the researcher conducting this research (10 marks)

3. Fear of walking alone after dark by Sex 26 marks
Below we have the frequencies of those who are afraid to walk alone after dark in the neighborhood where they live, recorded separately for males and females.

Table 3. Fear of walking alone after dark by Sex
Sex of respondent
Male Female Total

Usually afraid to walk alone at night in my neighborhood Yes 837 423 1259
No 1964 571 2535
Total 2801 994 3794

a. Which is the dependent and which is the independent variable here? (1 mark)

b. Calculate percentages for this table. Be sure they go in the correct direction. Do the percentages seem to show a relationship between these two variables? If yes, describe the pattern, if no, why don’t you think so? (5 marks)

c. Is there a significant relationship between these variables? Conduct the appropriate test and report. (10 marks)

d. If appropriate, calculate maximum difference and any appropriate tests of association and interpret. If not appropriate, tell me why and what this means for the researcher conducting this research (10 marks)

4. Confidence in government officials by urban status 26 marks
The table below shows us the frequency of survey respondents who have higher and lower levels of confidence in government officials to represent their local constituents’ best interests in policy decisions. They’ve been divided in terms of the urban status of residence of the respondent.

Table 4. Confidence in government officials by Urban status
Urban Status
Rural Town City Total

Confidence in Government officials Higher 81 390 2177 2648
Lower 28 117 525 670
Total 109 507 2702 3318

a. Which is the dependent and which is the independent variable here? (1 mark)

b. Calculate percentages for this table. Be sure they go in the correct direction. Do the percentages seem to show a relationship between these two variables? If yes, describe the pattern, if no, why don’t you think so? (5 marks)

c. Is there a significant relationship between these variables? Conduct the appropriate test and report. (10 marks)

d. If appropriate, calculate maximum difference and any appropriate tests of association and interpret. If not appropriate, tell me why and what this means for the researcher conducting this research (10 marks)

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