The data which is used for the analysis is the ADD dataset from Howell's textbook, which is available on course web page. In 1965, second-grade teachers in a number of schools in Vermont were asked to complete a questionnaire indicating the extent to which each student exhibited behaviors associated with attention deficit disorder (ADD). Based on the questionnaire, an ADD “score” was computed for each student (with higher scores indicating more ADD-like behaviors). The questionnaires for the same children were again completed when the children were in fourth and fifth grades. The children were followed through high school, and in 1985 Howell and Huessy reported some data from this study. The variables in the data set are as follows:
Variables in the Data
ID
ID number
ADDSC
Average of the three ADD scores
SEX
1=male; 2=female
REPEAT
1 = repeated at least one grade; 0 = did not repeat a grade
IQ
IQ obtained from a group-administered test
ENGL
Level of English in ninth grade: 1=college prep; 2=general; 3=remedial
ENGG
Grade in English in ninth grade: 4=A; 3=B; etc.
GPA
Grade point average in ninth grade
SOCPROB
Social problems in ninth grade: 1=yes; 0=no
DROPOUT
1 = dropped out before completing high school; 0 = did not drop out
Hypothesis
Null Hypothesis: There exist no relationship between the Social problem and Dropout.
Alternate Hypothesis: There exist a relationship between the social problem and dropout.
Descriptive Statistic of the Variables
Table 1 below shows the frequency distribution of social problem in ninth grades. In the sample of 88, 78 respondents don't have any social problem, only 10 of the respondents admitted any social problem. Table 2 shows that 78 respondents didn't drop out from the school before completing high school whereas 10 admitted dropping out from school before high school
socprob
Frequency
Percent
Valid Percent
Cumulative Percent
Valid
no
78
88.6
88.6
88.6
yes
10
11.4
11.4
100.0
Total
88
100.0
100.0
dropout
Frequency
Percent
Valid Percent
Cumulative Percent
Valid
didnot dropout
78
88.6
88.6
88.6
dropped out before completing high school
10
11.4
11.4
100.0
Total
88
100.0
100.0
Cross Tabulation
The crosstabulation table is the basic technique for examining the relationship between two categorical variables, possibly controlling for additional variables.
The Crosstabs procedure offers tests of independence and measures of association and agreement data. Additionally, you can obtain estimates of the relative risk of an event given the presence or absence of a particular characteristic.
socprob * dropout Crosstabulation
Count
dropout
Total
didnot dropout
dropped out before completing high school
socprob
no
73
5
78
yes
5
5
10
Total
78
10
88
From the cross tabulation it can be seen that out of 10 respondents who admitted dropping out before completing high school, 5 of them had social problem in the ninth grade while 5 didn't ...