STATISTICIAN (BS-18)

Max Marks: 200 Qualifying Standard: 40% (Note: Negative marking of 0.25/ wrong answer) Part-I: 100 Marks (MCQ) I. English (40 Marks) • Comprehension • Grammar Usage • Vocabulary • Sentence Structuring • Sentence Correction • Grouping of Words • Pairs of Words • Idiomatic Phrases • Synonyms/ Antonyms • Translation II. General Intelligence/Ability (60 Marks) • Basic Arithmetic/Quantitative Ability - Algebra - Ratios - Percentages - Arithmetic Means • Logical Reasoning and Analytical Ability • Current Affairs. - Developments at National and International Levels in last 2 years • Pakistan Affairs - Basic Level knowledge • Basic IT (Hardware and Software) Part-II (Professional): 100 Marks I. Probability Distributions Discrete and continuous Probability Distributions. Properties, applications of Binomial, Poisson, Hyper-geometric, Normal Distribution and its properties, Standard Normal Curve, Normal approximation to Binomial and Poisson distribution. II. Regression Analysis & Correlation Analysis Concepts of Regression and Correlation and their application, Simple and Multiple Linear Regression (upto three variables), Estimation of the Parameters, Method of least square, Inference regarding regression parameters Correlation, Correlation Coefficient, Properties of Correlation Coefficient, Inference regarding correlation coefficient, Partial Correlation and Multiple Correlation (upto three variables). III. Sampling & Sampling Distributions Population and Sample, Advantages of Sampling, Sampling Design, Probability &Non-Probability Sampling techniques. Brief Concepts of Simple Random, Stratified, Systematic, Cluster, Multiple and Multistage Sampling. Purposive, Quota Sampling, Convenience & Accidental Sampling. Sampling with and without replacement, Application of Central Limit Theorem in Sampling, Sampling Distribution of Mean, difference between two Means, Proportion, difference between two Proportion and Variance. IV. Statistical Inferences Estimation: Point Estimation, Properties of a good Estimator. Interval Estimation. Interval Estimation of Population mean. Large and small sample confidence intervals for Population Mean. Hypothesis Testing: Types of errors. Hypothesis Testing for Population Mean. Inferences for Two Population Means. Inferences for the Mean of Two Normal Populations using Independent Samples (variances are assumed Equal). Inference for Two Populations Mean using Paired Samples. Inferences for Population Proportions. Confidence Intervals and hypothesis Testing for Population Proportion. Inferences for Two Populations Proportions using Independent Samples, Analysis of categorized data. Goodness of fit tests. Contingency tables. Test of independence in contingency tables. V. Design of Experiments One-way and Two-way Analysis of Variance, Design of Experiments, Concepts of Treatment, Replication, Blocking, Experimental Units and Experimental Error, Basic Principles of Design of Experiments, Description, Layout and Statistical Analysis of Completely Randomized Design (CRD), Randomized Complete Block Design (RCBD), Multiple Comparison tests (LSD test). Case No.