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1st August 2014, 01:53 PM
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Join Date: Apr 2013
Re: SLET Mathematics exam Syllabus

Here is the SLET Mathematics exam Syllabus:

12. Probability Distribution-Berhount, Binomial, Multinomial,
Hypergeomatric, Poisson, Geometric and Negative binomial distribution,
Uniform, exponential, Cauchy, Beta, Gamma, and normal
(univariate and multivariate) distributions Transformations of
random variables; sampling distributions, t, F and chi-square distributions
as sampling distributions, Standard errors and large
sample distributions. Distribution of order statistics and range.
13. Theory of Statistics : Methods of estimation : maximum likelihood
method, method of moments, minimum chi-square method,
least-squares method. Unblasedness, efficiency, consistency.
Cramer-Rao linequality. Sufficient Stastics. Rao-Blackwell Theorem.
Uniformly minimum variance unblased estimators. Estimation
by confidence intervals. Tests of hypothesis : Simple and composite
hypotheses, two types of errors, critical region, randomized
test, power function, most powerful and unifirmly most powerful
tests, Likelihood-ratio tests. Wald’s sequential probability ratio test.
14. Stastical methods and Data Anlysis- Tests for mean and variance
in the normal distribution : one-population and two-population
cases; related confidence intervals. Tests for product moment, partial
and multiple correlation coefficients; comparison of k linear
regressions. Fitting polynomial regression; related test. Analysis
of discrete data : chi-square test of goodness of fit, contingency
tables. Analysis of varience : one-way and two-way classification
(equal number of observations per cell). Large-sample tests through
normal approximation.
Nonparametric tests : sign test, median test, Mann-Whitney test,
Wilcoxom test for one and two-samples, rank correlation and test
of independence








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