Gujarat Technological University 2009 B.Pharm Applied Mathematics (Biostatistics) - Question Paper

GUJARAT TECHNOLOGICAL UNIVERSITY

B. Pharmacy Sem-II examination June 2009

Subject Name: Applied Mathematics (Biostatistics)

Time : 11:30am-2:30pm Total Marks: 80

Instructions: 1.    Attempt any five questions.

2.    Make suitable assumptions wherever necessary.

3.    Figures to the right indicate full marks.

i)    Calculate slop and intercept

ii)    An unknown has an absorbance of 1.65. What is the concentration?

D Obtain the rank correlation coefficient between Fasting blood glucose level and systolic 03

blood pressure in 10 diabetic patients.

Sr. no of patients 1 2 3 4 5 6 7 8 9 10 Fasting blood glucose level(mg/dl) 90 92 98 112 120 121 126 132 143 145 Systolic blood pressure (mmHg) 136 140 142 130 148 135 150 170 145 165

Q-2 A What is analysis of variance?    01

C Eight laboratories were requested to participate in experiment whose objective was to 07 compare the dissolution rates of two generic products and standard product. The purpose of the experiment was to determine.

i)    If the product had different rates of dissolution.

ii)    To estimate the laboratory variability and test for significance difference among laboratories. Carry out two-way ANOVA for the given data and give your conclusion

Laboratory 1 2 3 4 5 6 7 8 Generic A Tablet 89 93 87 80 80 87 82 68 Generic B Tablet 83 75 75 76 77 73 80 77 Standard Tablet 94 78 89 85 84 84 75 75

( From the F distribution table- F 2,14= 3.74,F7,24=2.43 and F14 ,24= 2.13 at 5%level of significance )

D The hemoglobin level of three group of children fed on three different diets are given in 05

the following table. Test the means of these three groups differ significantly.

Table: Hemoglobin level (%' of chi ldren fed with three different diets. Sr. no. 1 2 3 4 5 6 7 8 9 10 11 12 Group I 11.6 10.3 10.0 11.5 11.8 11.8 12.1 10.8 11.9 10.7 11.5 _ Group II 11.2 8.9 9.2 8.8 8.4 9.1 6.3 9.3 7.8 8.8 10.0 9.7 Group III 9.8 9.7 11.5 11.6 10.8 9.1 10.5 10.0 12.4 10.7 _ _

( From F distribution table F2,30 = 3.32 at 5%level of significance

Q-3 A Explain the following terms related to testing of hypothesis.    04

i)    Null hypothesis

ii)    Alternate hypothesis

iii)    Level of significance

iv)    Standard error.

B A clinical research center of Zydus Cadila pharmaceutical conducted a pharmacokinetic 06 study in 12 human volunteer. The maximum therapeutic concentration of drug in plasma(C _max) was studied after administration of new formulation and established formulation.

Established formulation (Cmax)mcg/ml 5.6 6.9 5.8 5.8 6.0 5.6 7.1 5.8 5.1 5.7 5.9 4.8 New formulation (C max) mcg/ml 9.6 5.7 7.8 8.5 9.4 7.9 8.4 13.7 26.9 21.0 17.5 19.6

Test whether there is statistical significance of difference between the two formulations. (t n,0.05=2.20 at 5% significance level) C The following data shows the blood pressure reduction (in mmHg) caused in 10 animal by a new antihypertensive compound. Test the hypothesis that blood pressure reduction for population in 15 mm Hg. (t9,0.05=2.262 at 5% significance level)

Blood pressure	1 5	18	14	8	90	12	17	21	16	18
reduction (mm Hg.)

Granulation A	20.6	20.9	20.6	20.7	19.8	20.4	21.0
Granulation B	20.2	21.5	18.9	19.0	21.8	20.4	21.0

D A certain drug is claimed to be effective in curing colds. In experiment on 500 person 04 with cold, half of them were given the drug and half of them were given sugar pill. The

patients reaction to the treatment is recorded in following table. On the basis of these data conclude that there is significance difference in the effect of drug and sugar pill. The test is to be performed at the 5% level

(Critical value of Chi square x ² = 5.99 at 2 d.f.)_

Treatment	Consequence
	Helped	Reaction	No effect	Total
Drug	150	30	70	250
Sugar pill	130	40	80	250
Total	230	70	150	500

E Enumerated the various methods of sampling and discuss in detail about any two    08 methods with suitable examples.

What are the advantages of and characteristics of the sample?    03

Differentiate between the sampling with replacement and without replacement    02

A population consists of five numbers 2,3,6,8.11. consider all possible size of two which can be drawn with replacement from this population. Calculate the standard error of sample mean

What arte the advantages of nonparametric tests Write note on followings ( any two )

i) Wilcoxon signed rank test ii) Kruskal wallis test iii) Wilcoxon rank sum test.

A Bioavailability study was conducted in which two products were compared ( A and B formulation ) . The peak blood concentrations were as follows; Use Wilcoxon signed rank test to determine if there is a difference among formulation. (Critical value for T at P= 0.05 for 12 pairs from table = 11)

Subject 1 2 3 4 5 6 7 8 9 10 11 12 A 2.5 3.0 1.25 1.75 3.5 2.5 1.75 2.25 3.5 2.5 2.0 3.5 B 3.5 4.0 2.5 2.0 3.5 4.0 1.5 2.5 3.0 3.0 3.5 4.0 In the stud y of cerebrovascu lar disease, patient from 3 socioeconomic bac kgrounds wer

thoroughly investigated. One characteristic measures was diastolic blood pressure (mmHg).Is there any reason to believe that the 3 groups differ with these characteristics?

( Table value of x 2 5.99 at d.			\=k-1=2 and alpha = 0.05)
Group A	100	103	89	78	105
Group B	92	97	88	84	90	95
Group C	81	102	86	83	99

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Attachment: gujarat-technological-university-2009-b-pharm-52767-1.pdf

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