Applied Statistical Methods

If the correlation coefficient between body weight of full sibs is 0.25, then the heritability of this trait in this population is

At what allelic frequency is the heterozygous genotype (Aa) twice as frequent as the homozygous genotype (aa) in a Hardy- Weinberg population?

If x ~N(0,1) and y = x2, then the correlation between X and Y is

If in the analysis of variance of a completely randomized design, the df. for the treatment sum of squares is 4 and the mean sum of squares due to error is 2, while the observed F-value for testing significance of treatment differences is 12.5, then which one of the following represents correctly the treatment sum of squares?

If two Latin squares each of the same order are such that when one is superimposed over the other, each symbol of one falls on each symbol of the other once and only once, then the two Latin squares are said to be

The following is a BIBD with parameters $v = 4, b = 4, k = 3, r = 3, \lambda = 2$:

Block 4 contains:

coin is tossed until a head appears. What is the expectation of the number of tosses required?

Of the 36 accounts drawn randomly from a very large number of accounts in a certain bank, 12 had a deposit of less than Rs. 1500. The estimated standard error for the estimate of the proportion of accounts having a deposit of less than Rs. 1500 is

‘Two samples of size n ate selected, one according to SRSWR and the other according to SRSWOR. Under SRSWR, V; stands for variance of sample mean based on all units while V2 stands for the variance of sample mean based on distinct units. V3 stands for the variance of sample mean based on SRSWOR. Which one of the following holds ?

Asimple random sample of 4 households was drawn from a village containing 120 households. The number of persons per household in the sample were 6, 4, 7 and 3. The estimate of the total number of people in the village is

If the events $A_1, A_2, \dots, A_n$ are independent and $P(A_i) = \frac{1}{1+i}$ for $1 \le i \le n$, then the probability that none of these $n$ events occurs is:

In an experiment, the experimenter observes proportion of individuals affected by a disease in each of the plots by examining a random sample of individuals within each piot. If p is the observed proportion, then the appropriate variance stabilizing transformation in this case will be

The Neyman-Pearson fundamental lemma gives the method of construction of

Which one of the following non-parametric tests is analogous to Chi-square test of goodness of fit?

Which of the following statement(s) are correct?

Choose the correct answer from the options given below:

In a Chi-square test, the contingency table has 5 rows and 5 columns. What is the number of degrees of freedom?

Match List-I with List-II:

Choose the correct answer from the options given below:

Which of the following is not a supervised learning method?

In Artificial Intelligence, an environment is uncertain if it is

Choose the one which is not an Ensemble Modeling Technique

To remove two source of heterogeneity in the experimental units we may use

Which one of the following statements is correct?

If for a binomial distribution mean is 7 and variance is 6, then the probability of success 'p' is equal to:

A company engaged in the manufacture of talcum powder of various varieties has found a new perfume for the talcum powder. It wants to bring out the new perfumed powder to the market in only one size. It has data on sales of various sizes of its existing product. Based on which measure of central tendency would the company decide on the size of the new product to be marketed?

A fair coin is tossed $n$ times. If $X$ and $Y$ denote the number of heads and number of tails turned up respectively, then the correlation between $X$ and $Y$ is: