Options appear in the order they were printed on the original paper, not by their position on the page. Changing the booklet series changes the order of the questions, never the answers.
Diagram in which area of the rectangle is proportional to the frequency of the class intervals with unequal length
Algebraic sum of the deviations of a set of values from their arithmetic mean is :
If the distribution is moderately assymetrical then 3(mean - median) is equal to
While comparing two groups it is observed that coefficient of variation of one group is 2 along with mean as 4, while in other group coefficient of variation is 3 and mean is 8 . The ratio of two standard deviations is :
A given data has mean = 6.5, median = 6.3 and mode = 5.4 . It represents :
Complete idea of a distribution is formed with :
Let correlation coefficient between X and Y is positive then the sign of both the regression coefficient is :
Let X; (i =1,2,3) are uncorrelated variables each having the same standard deviation, then correlation coefficient between (X₁ + X₂) and (X2 + X3) is:
For a discrete distribution for obtaining rank correlation coefficient, the sum of all the differences of ranks that is, Σ di i=1 is:
If the regression equation is a good fit then the multiple correlation coefficient R is -
Correlation coefficient between variables X₁ and X2, X₁ and X3, and X2 and X3 is r, then partial correlation coefficient between X₁ and X2 after eliminating the effect of X3 is :
Minimizing the sum of squares of the deviation of the actual value of Y from their estimated value as given by the line of best fit in a linear model is :
For any three events A, B and C P(A U BIC), is equal to
Let A and B be two events such that P(A) = 1/3, P(B)= 1/5 and P (AUB) = 11/30 then P(B|A) is :
Let two unbiased coins are tossed. Expected value of the number of heads is :
It is observed that P(Ej) = 1/3 for i = 1 and 2, and P(B|E₁) = 4/5, Baye's probability P(E2|B) is -
Let X be a random variable with p.d.f. as given below x: 0 1 2 3 p(x): 1/3 1/2 1/24 1/8 The expected value of Y = (X-1)² is
The moment generating function of Binomial distribution is :
Let f(x;r,p) denote probability distribution function of negative Binomial distribution. If r = 1 then this distribution becomes
In normal probability distribution all central moments of odd order are
Mean and variance of exponential distribution are respectively
In which distribution probability density function at all the points through out the range of X is same
Let X and Y be independent Gamma variates with parameters µ and y, then distribution of Z = X/(X+Y) is :-
Let X ~ ẞ2 (m, n), then y = 1/(1+X) follows
Let X ~ F (n,m) then distribution of 1/X follows :-
Let X ~ χ²(n) and Y ~ χ²(m) are two independent variates, then the ratio of these two chi squares distributions divided by their respective degrees of freedom follows :-
Which one is not true for the assumption of t-test?
In an experiment it is observed that d = 4,n = 9 and s² = 36, then testing the significance of difference between two means, paired t-test comes out as
Characteristic function of χ²- distribution with n degrees of freedom is
Let statistic t follows student t-distribution with n degrees of freedom. If n=1 then this distribution reduced to
Mode of F - distribution is always
Let X follows p-variate normal distribution with mean vector μ and variance covariance matrix Σ, that is, X~Nₚ(μ, Σ), then Y = cX follows
Wishart distribution is a generalization of
If Aᵢ (i = 1,2,....,p) are independently distributed as Wₚ(Σ, ηᵢ) respectively, then A = ∑ᵢ<0xE2><0x82><0x91>₁ᵖ Aᵢ is distributed as
The test statistics t<0xE2><0x82><0x99>₋<0xE2><0x82><0x96>₋₁ for testing the multivariate regression parameters βⱼ under null hypothesis H₀: βⱼ = 0 is
For perfect multicollinearity, which one is not true
Which one of the following statement in not correct :
For small samples from N(θ,σ²); σ² unknown a 100(1 - α) percent confidence interval for θ is given by
For a sample of size n, the statistic s² = 1/n Σ_{i=1}^{n} (xᵢ − x̄)² is
An M.V.U. estimator is unique in the sense that if T₁ and T₂ are M.V.U. estimators for γ (θ) then
In an experiment it is observed that E(X) = θ and I(θ) = n/θ², then Cramer-Rao lower bound for the variance of an unbiased estimator of θ is
Let the likelihood function of a density function is given by L(a) = f(x, a) = (a - x); 0 < x < a then maximum likelihood estimate of parameter a is
If t<0xE2><0x82><0x99> is a sufficient estimator for θ, then ∂/∂θ log L is a function of only:
Which one is not true
Which one is not true:
For testing H₀: θ = θ₀ against H₁: θ = θ₁, the critical region W and consequently, the test of size α based on it said to be unbiased if the power of the test is
If the direction of the difference is not known, the critical region will be in both ends of the sampling distribution, the test is known as
If f(x, θ) = 1/θ; 0 ≤ x ≤ θ 0 otherwise For testing the null hypothesis H₀: θ = 1 against H₁: θ = 2 base on a single observation x the size of type-l error if we choose critical region as 0.5 ≤ x is
If T = t(x) is sufficient statistics for θ then using N-P lemma, the most powerful critical region for the test may be defined in terms of
In a sign test r is the number of positive sign, then the distribution of r is
If the sample size in Wald Wolfovitz runs test are n₁=25 and n₂=30 then the variate R (total number of runs) has mean
In a nonparametric median test the test criteria follows the distribution
For Kolmogorov-Smirnov one sample test, which one is not true
For Kolmogorov-Smirnov two sample test, which one is not true
In case of sign test for paired samples, the hypothesis is to test the
The error mainly arising at the stage of ascertainment and processing of data is
A sample of size 2 from a population of size 5 is drwan using simple random sampling, the probability of selecting one sample is
When the procedure of selecting units in the stratra is specified then which of the following statement is NOT correct for the procedure of stratification?
If 'k' is sampling interval then in systematic sampling, sample mean ỹ is unbiased estimator for population mean Ỹ, if
Which sampling method is a particular case of PPS sampling when P₁ = 1/N, i = 1,...., N
The approximate expression for the bias in the ratio estimator becomes zero if R is equal to -
Ratio estimator YR of population mean is more efficient than regression estimator Y₁ of population mean when :
A 24 factorial experiment is confounded into a block of size 4. Total number of generalized interaction(s) is / are
The number of replication 'r' is determined with usual notations from the following:
Experimental error is due to:
A 23 factorial experiment is conducted in 3 replications. Degrees of freedom for error sum of squares is :
For a balanced incomplete block design, the parametric relations are (1) λ(V – 1) = r(k - 1) (2) b ≥ V (3) r = k (4) Vr = bk Which one is true for the existence of BIBD ?
A partially balanced incomplete block design satisfy the following inequalities (1) r - λ₁ < 0 (2) r - λ₁ > 0 (3) rk – υλ₂ < 0 (4) rk – υλ₂ > 0 Which one is true for regular group divisible PBIBD ?
For which design two way local control holds true
The price of certain commodities for four years is computed. It is observed that quartely average of first quarter is 360 and over all average of four quarters is 320. Seasonal index of first quarter is -
In cyclic variation, the objective is to
In a time series, Harmonic analysis method is based on the function yt expressed in the form of :
Under usual assumption in time series data y₁ = Bo + B1 Yt-1 + Et is a type of
The price of two commodities A and B in the year 2015 and 2016 are shown in Table. The average price relative of both commodities is assuming 2015 as base year
Price Index, for a year using simple aggregate method, Pon, for various commodities is
The main advantages of Laspeyre's index number is that the weights (qo) for the base year
For a time series data index number obtained from chain base method is expressed by: (where j = 1,2,....,k ; t = 1,2,....,n)
Paasche's index number possess :
Using base shifting method, the new base index number is obtained from
Estimation of population, for a particular year using Analytical method, is obtained from
Fertility rates mainly depend upon :
Number of children born alive per 1000 women of child bearing age in a given year and region is
Which of the following are the assumptions of Gross Reproduction Rate (GRR) are (1) There is no mortality of newly born female children till they attain the highest reproductive age. (2) There are no gains or loses due to migration. (3) The current fertility rate is maintained till their highest child bearing age. Which one is most appropriate for GRR ?
If total fertility rate is 1050 and the ratio of female birth to male is 100 : 110 then gross reproductive rate is :
With usual notation which of the below given relation is not correct :
In which year planning cell was set up in CSO ?
NSSO is an autonomous body since the year:
In which year first census of free India was conducted ?
Which one of the following method is not true for the calculation of National income ?
Functioning of CSO is: (A) to co-ordinate the activities of statistical officer at the centre and state. (B) to estimate the yearly income of the country.
Agricultural Statistics is mostly collected by : (A) Department of Economics and Statistics at central level. (B) Department of Economics and Statistics at state level.
Which statement is not correct:
The data refers to the index numbers of Agricultural production with base year as the triennium end given details regarding
Probability of including a specified unit in a sample of size 4 out of 20 units is :
The graph between the period (µ) of cycle and intensity (Su) is known as:
If r12 = 0.6, r13 = 0.5 and r23 = 0.8 then the value of r12.3 is:
If the probability of occurence of two independent events A and B respectively are 0.3 and 0.4, then which of the following is true :
If X ~ N (μ, Σ) then with usual notations T² is defined as:
The unbiased estimator of population variance σ² is : Where s² = 1/n Σ(xi - x)²
Practise these under a timer and see how far your predicted score sits from the cutoff.
Start preparing for RPSC Statistical Officer| Subject | Questions |
|---|---|
| Probability & Distributions | 24 |
| Applied Statistics | 23 |
| Statistical Inference | 22 |
| Sampling & Design of Experiments | 13 |
| Correlation & Regression | 8 |
| Descriptive Statistics | 7 |
| Economics | 1 |
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Probability & Distributions — 24 questions. The full count per subject is in the table above.
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