LAB 3 - CONTINGENCY TABLES

```GEOGRAPHY 161 - Fall 2019
LAB #3 – RELATIONSHIPS (Contingency Tables)
WORTH 12.5% OF YOUR COURSE GRADE – LAB WILL BE MARKED OUT OF 100
NAME: Mir Shahaab Hussain
SID:500913185
THE LAB ITSELF
PART 1 OF LAB 3: RESULTS TABLE.
1.1 Produce proportional stats table (4 tables * 10 points = 40 points total – 0.5 lost for each wrong
PART 2 OF LAB 3: QUESTIONS:
2.1 Overall sample table (20 points total).
2.2 Academic Status Category subgroup table (20 points total).
2.3 HS Grade Category subgroup table (20 points total.
DATASETS TO BE USED:
For this lab, open the Excel dataset named GRADES AND STATUS DATASET from the course website and save to
your student drive or memory stick. Work on these data from your own drive. Answer the following questions
as directed in this Word document only.
Research Question:
You have been hired by the Ministry of Training, Colleges, and Universities to undertake an analysis of how well
high school students do in their first year of university. The first part of your analysis involves a descriptive
contingency table of their high school entrance-to-university grade, and their academic status at the end of their
first year in university. [The second part of your analysis will involve correlation and regression that you will do
in your next lab]. Using the dataset provided, calculate the percentile contingency tables required to answer the
questions.
Part 1: Producing the basic association statistics.
1.1
Fill in the tables below from your lab analysis. (Worth 40 points. NOTE: You start with 40 and
will lose 0.5 marks for every wrong answer).
TABLE 1: ACADEMIC STATUS AFTER 1ST YEAR - COUNTS
90+
85-89.99 80-84.99 75-79.99 70-74.99
CLEAR
STATUS
COND
PROB
TOTAL
25
58
85
79
257
1
1
5
6
16
29
0
1
11
16
49
77
10
0
0
3
11
48
62
0
0
1
2
2
5
0
0
3
7
6
16
11
27
81
127
200
446
SUSP
WITH
DN
TOTAL
TABLE 2: ACADEMIC STATUS AFTER 1ST YEAR - PERCENT OF ALL
90+
CLEAR
COND
STATUS
PROB
SUSP
85-89.99 80-84.99 75-79.99 70-74.99
TOTAL
5.61%
13.00%
19.06%
17.71%
57.62%
2.24%
0.22%
0.22%
1.12%
1.35%
3.59%
6.50%
0.00%
0.22%
2.47%
3.59%
10.99%
17.26%
0.00%
0.00%
0.67%
2.47%
10.76%
13.90%
0.00%
0.00%
0.22%
0.45%
0.45%
1.12%
0.00%
0.00%
0.67%
1.57%
1.35%
3.59%
2.47%
6.05%
18.16%
28.48%
44.84%
100.00%
WITH
DN
TOTAL
TABLE 3: ACADEMIC STATUS AFTER 1ST YEAR - PERCENT OF GRADE CATEGORY
90+
CLEAR
COND
STATUS
85-89.99 80-84.99 75-79.99 70-74.99
TOTAL
92.59%
71.60%
66.93%
39.50%
57.62%
90.91%
9.09%
3.70%
6.17%
4.72%
8.00%
6.50%
0.00%
3.70%
13.58%
12.60%
24.50%
17.26%
0.00%
0.00%
3.70%
8.66%
24.00%
13.90%
0.00%
0.00%
1.23%
1.57%
1.00%
1.12%
0.00%
0.00%
3.70%
5.51%
3.00%
3.59%
100.00%
100.00%
100.00%
100.00%
100.00%
100.00%
PROB
SUSP
WITH
DN
TOTAL
TABLE 4: ACADEMIC STATUS AFTER 1ST YEAR - PERCENT OF STATUS CATEGORY
90+
CLEAR
COND
PROB
STATUS
SUSP
WITH
DN
TOTAL
85-89.99 80-84.99 75-79.99 70-74.99
TOTAL
9.73%
22.57%
33.07%
30.74%
100.00%
3.89%
3.45%
3.45%
17.24%
20.69%
55.17%
100.00%
0.00%
1.30%
14.29%
20.78%
63.64%
100.00%
0.00%
0.00%
4.84%
17.74%
77.42%
100.00%
0.00%
0.00%
20.00%
40.00%
40.00%
100.00%
0.00%
0.00%
18.75%
43.75%
37.50%
100.00%
2.47%
6.05%
18.16%
28.48%
44.84%
100.00%
Note that the following questions are not asking you for a narrative response answering the research
question. The correct answer is limited to interpreting directionality of the data.
2.1 For the results in the tables above (i) which table (number and title) would you use to discuss the
overall differences between HS grade and Academic Status for the whole sample (5 points), and (ii) a
using a numeric example from the table what is it telling you about how each of the subgroups relate?
(15 points).
i. Table 2 (Academic status after 1st year – percent of all)
ii. It tells that 10 people who have 90% + high school grade and whose academic status is clear,
constitute to 2.2 % of the total population of the 446 students.
2.2 For the results in the tables above (i) which table (number and title) would you use to discuss the
distribution of HS grade subgroup across Academic Status and (ii) a using a numeric example from the
table what it is telling you about how each of the subgroups relate? (15 points).
i. Table 3 (Academic status after 1st year – percent of grade category)
ii. It tells that 10 people who have 90% + high school grade and whose academic status is clear
constitute to 90.9 % of the 90 + High school grade subgroup total of 11.
2.3 For the results in the tables above (i) which table (number and title) would you use to discuss the
distribution of the Academic Status subgroup across the Grade categories (5 points) and (ii) using a
numeric example from the table, explain what it is telling you about how each of the subgroups relate?
(15 points)
i. Table 4 (Academic status after 1st year – percent of status category)
ii. It tells that 10 people who have 90%+ high school grade and whose academic status is clear,
constitute to 3.9% of the clear academic Status total of 257.
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