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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034
M.Sc. DEGREE EXAMINATION – BIO INST & MED.LAB TECH
THIRD SEMESTER – APRIL 2008
ST 3901 – STATISTICAL APPLICATIONS IN BIOLOGICAL SCIENCES
Date : 05-05-08 Dept. No. Max. : 100 Marks
Time : 9:00 – 12:00
PART A
Answer all the questions. 5 X 2 = 10
- Define biostatistics.
- What are the merits of arithmetic mean?
- What measures are available in measure of dispersion?
- Define correlation.
- Write any two properties of regression.
- What is population and sample?
- What do you mean about two-sample t-test in health science?
- What is analysis of variance?
- Distinguish between sampling error and non-sampling error.
- Explain simple random sampling by illustration.
PART B
Answer any FIVE questions. 5 X 8 = 40
- Compute mean and median for the following data:
Age : 20-30 30-40 40-50 50-60 60-70 70-80 80-90
Number of patients : 15 19 11 25 22 10 5
- Calculate correlation coefficient for weights (kg) and heights (cm) of 10 patients in Seahorse hospital.
Weight : 83 99 63 71 65 70 69 56 66 88
Height : 185 180 173 168 175 183 174 164 169 205
- The following data are the oxygen uptakes (milliliters) during incubation of a random sample of 15 cell suspensions.
14.0 14.1 14.5 13.2 11.2 14.0 14.1 12.2 11.1 13.7 13.2
16.0 12.8 14.4 12.9
Do these data provide sufficient evidence at the 0.05 level of significance that the population mean is not 12ml?
- Cortisol level determinations were made on two samples of women at childbirth. Group 1 subjects underwent emergency cesarean section following induced labor. Group 2 subjects delivered by either cesarean section or the vaginal route following spontaneous labor. The sample sizes, mean cortisol levels, and standard deviations were as follows:
Sample n mean standard deviation
1 10 435 65
2 12 645 80
Use two sample t-test to provide sufficient evidence to indicate a difference in the
mean cortisol level in the populations represented? Let a = 0.05.
- Explain any four methods of sampling and give example for each.
- Four subjects participated in an experiment to compare three methods of relieving stress. Each subject was placed in a stressful situation on three different occasions. Each time a different method for reducing stress was used with the subject. The response variable is the amount of decrease in stress level as measured before and after treatment application. The results were as follows.
|
Subject |
Treatment | ||
| A | B | C | |
| 1 | 16 | 26 | 22 |
| 2 | 16 | 20 | 23 |
| 3 | 17 | 21 | 22 |
| 4 | 28 | 29 | 36 |
Can we conclude from these data that the three methods differ in effectiveness? Let a = 0.05.
- Explain various steps in involved in Hypothesis testing.
- Explain any four important measures of dispersion.
PART C
Answer any two questions. 2 X 20 = 40
- The following are the number of babies born during a year in 60 community hospitals.
30 55 27 45 56 48 45 49 32 57 47 56 37 55 52 34 54 42 32 59 35 46 24 57 32 26 40 28 53 54 29 42 42 54 53 59 39 56 59 58 49 53 30 53 21 34 28 50 52 57 43 46 54 31 22 31 24 24 57 29 2 18 25 6 9 15 23 46 11 22
From these data construct:
a). A frequency distribution with the class interval 0-10, 10-20, 20-30, 30-40,
40-50, 50-60
b). Histogram.
c). Frequency polygon.
d). Frequency curve
- Consider the following Bivariate data:
X: 3.31 2.41 2.11 3.01 2.13 2.41 2.10 2.41 2.09 3.00
Y: 4.09 3.84 2.97 3.22 3.96 2.76 3.42 3.38 3.28 2.93
a). Find two regression equations describing the relationship between the two
variables.
b). Compute r2 and give your interpretation.
c). Estimate X when Y = 2.00 and Y when X = 2.80.
- [i] The Weights (in Kg.) of 9 Obese Women before and after 12-weeks of
VLCD (very low calorie diet) treatment are given in following table. Test whether
these data provide sufficient evidence to allow us to conclude that the treatment is
effective in causing weight reduction in obese women? Let a=0.05
Before : 117.3 114.4 98.6 104.3 105.4 100.4 81.7 89.5 78.2
After : 83.8 85.9 75.8 82.9 82.3 77.7 62.7 69.0 63.9
[ii] In a study of nutrition care , it is found that among 55 patients with hypertension, 24 were on sodium-restricted diet. Of 149 patients without hypertension, 36 were on sodium-restricted diets. May we conclude that the proportion of patients on sodium-restricted diet is higher among patients with hypertension than among patients without hypertension?
- A physical therapist wished to compare three methods teaching for patients to use a certain prosthetic device. He felt that the rate of learning would be different for patients of different ages and wished to design an experiment in which the influence of age could be taken into account.
| Age Group | Teaching Method | ||
|
Under 20 |
A | B | C |
| 7 | 9 | 10 | |
| 20 to 29 | 8 | 9 | 10 |
| 30 to 39 | 9 | 9 | 12 |
| 40 to 49 | 10 | 9 | 12 |
| 50 and over | 11 | 12 | 14 |
Use two-way analysis of variance for a = 5 % level and give your interpretation.
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