In a study, two groups of patients with a particular infection are given two different antibiotic treatments.  The numbers of patients cured within various periods are as follows. Treatment Time to cure (days)   1-4 5-6 7-8 9-10 >10 Oral 28 32 24 10 6 By injection 44 20 12 11 10   Use the following SAS output to perform a statistical test to if the data indicate a difference between the frequency distributions of the times to cure under the two treatments. H0: HA: a) Test Statistic:  b) p-value:  c) Decision in the context of the problem:

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In a study, two groups of patients with a particular infection are given two different antibiotic treatments.  The numbers of patients cured within various periods are as follows.

Treatment

Time to cure (days)

 

1-4

5-6

7-8

9-10

>10

Oral

28

32

24

10

6

By injection

44

20

12

11

10

 

Use the following SAS output to perform a statistical test to if the data indicate a difference between the frequency distributions of the times to cure under the two treatments.

H0:

HA:

  1. a) Test Statistic: 
  2. b) p-value: 
  3. c) Decision in the context of the problem:
The SAS System
The FREQ Procedure
Frequency
Table of type by time
Percent
Row Pct
Col Pct
time
type
1-4 5-6
7-8 9-10
>10 Total
Oral
28
32
24
10
6
100
14.21 16.24 12.18
5.08
3.05
50.76
28.00 32.00 24.00 10.00
6.00
38.89 61.54 66.67 47.62 37.50
By Injection
44
20
12
11
10
97
22.34 10.15
6.09
5.58
5.08
49.24
45.36 20.62 12.37 11.34 10.31
61.11 38.46 33.33 52.38 62.50
Total
72
52
36
21
16
197
36.55 26.40 18.27
10.66
8.12 100.00
Statistics for Table of type by time
Statistic
DF
Value
Prob
Chi-Square
4 11.3293 0.0231
Likelihood Ratio Chi-Square
4 11.4700 0.0218
Mantel-Haenszel Chi-Square
0.5380 0.4633
Phi Coefficient
0.2398
Contingency Coefficient
0.2332
Cramer's V
0.2398
Sample Size = 197
Transcribed Image Text:The SAS System The FREQ Procedure Frequency Table of type by time Percent Row Pct Col Pct time type 1-4 5-6 7-8 9-10 >10 Total Oral 28 32 24 10 6 100 14.21 16.24 12.18 5.08 3.05 50.76 28.00 32.00 24.00 10.00 6.00 38.89 61.54 66.67 47.62 37.50 By Injection 44 20 12 11 10 97 22.34 10.15 6.09 5.58 5.08 49.24 45.36 20.62 12.37 11.34 10.31 61.11 38.46 33.33 52.38 62.50 Total 72 52 36 21 16 197 36.55 26.40 18.27 10.66 8.12 100.00 Statistics for Table of type by time Statistic DF Value Prob Chi-Square 4 11.3293 0.0231 Likelihood Ratio Chi-Square 4 11.4700 0.0218 Mantel-Haenszel Chi-Square 0.5380 0.4633 Phi Coefficient 0.2398 Contingency Coefficient 0.2332 Cramer's V 0.2398 Sample Size = 197
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