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» Statistics : Preliminary Examination Sample Papers, Datesheet, Results, Eligibility, Admission, Syllabus

Statistics : Preliminary Examination Exams in India

Probability: Random experiment, sample space, event, algebra of events, probability on a discrete sample space, basic theorems of probability and simple examples based theorem, conditional probability of an event, independent events, Bayess theorem and its application, discrete and continuous random variables and their distributions, expectation, moments, moment generating function, joint distribution of two or more random variables, marginal and conditional distributions, independence of random variables, covariance, correlation, coefficient, distribution of a function of random variables, Bernoulli, binomial, geometric, negative binomial, hyper geometric, Poisson, multinomial, uniform, beta, exponential, gamma, Cauchy, normal, lognormal and bivariate normal distributions, real-life situations where these distributions provide appropriate models, Chebyshevs inequality, weak law of large numbers and central limit theorem for independent and identically distributed random variables with finite variance and their simple applications.

Statistical Methods: Concept of a statistical population and a sample, types of data, presentation and summarization of data, measure of central tendency, dispersion, skewness and kurtosis, measures of association and contingency, correlation, rank correlation, interclass correlation, correlation ratio, simple and multiple linear regression, multiple and partial correlations (involving three variables only), curve-fitting and principle of least squares, concepts of random sample, parameter and statistic, Z, X2, t and F statistics and their properties and applications, distributions of sample range and median (for continuous distribution only), censored sampling (concept and illustrations}.

Statistical Inference: Unbiasedness, consistency, efficiency, sufficiency, Completeness, minimum variance unbiased estimation, Rao-Blackwell theorem, Lehmann Scheffe theorem, Cramer-Rao inequality and minimum variance bound estimator, moments maximum likelihood, least squares and minimum chi-square methods of estimation, properties of maximum likelihood and other estimators, idea of a random interval, confidence intervals for the parameters of standard distributions, shortest confidence intervals, large-sample confidence intervals.

Simple and composite hypotheses, two kinds of errors, level of significance, size and power of a test, desirable properties of a good test, most powerful test, Neyman-Pearson lemma and its use in simple example, uniformly most powerful test, likelihood ratio test and its properties and applications.

Chi-square test, sign test, Wald-Wolfowitz runs test, run test for randomness, median test, Wilcoxon test and Wilcoxon-Mann-Whitnev test.

Wais sequential probability ratio test, OC and ASN functions, application to binomial and normal distributions. Loss function, risk function, minimax and Bayes rules.

Sampling Theory and Design of Experiments: Complete enumeration vs. sampling, need for sampling, basic concepts in sampling, designing large-scale sample surveys, sampling and non-sampling errors, simple random sampling, properties of a good estimator, estimation of sample size, stratified random sampling, systematic sampling cluster sampling, ratio and regression methods of estimation under simple and stratified random sampling, double sampling for ratio and regression methods of estimation, two-stage sampling with equal-size first-stage units.

Analysis of variance with equal number of observations per cell in one, two and three-way classifications, analysis of convariance in one and two-way classifications, basic principles of experimental designs, completely randomized design, randomized block design, latin square design, missing plot technique, 2n factorial design, total and partial confounding, 32 factorial experiments, split-plot design and balanced incomplete block design.

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Preliminary Examination : Civil Services

Scheme and subjects for the Preliminary Examination The Preliminary Examination consists of two papers: Paper I General Studies - 150 marks Paper II One subject to be selected from the list of optional subjects set out in Para 2 below

CBSE Pre-Medical 2006 Preliminary Exam

CBSE Pre-Medical 2006 Preliminary Exam Preliminary examination to screen candidates for the main examination would be held on April 2, 2006. The final examination for admission to various medical and dental colleges in the country would be held on May 14, 2006. For more details visit the official websites www.cbse.nic.in

Plan of Civil Services Examination

The Civil Services Examination consists of two successive stages: (i) Civil Services Preliminary Examination (Objective type) for the selection of candidates for the Main Examination; and (ii) Civil Services Main Exam. (Written & Interview) for selection of candidates for the various services and posts noted below. After appearing at the Preliminary Exam., candidates who are declared successful to have qualified for admission to the Main Exam, (held during October/November) have to apply again, in the detailed application form which is supplied to them. Number of vacancies for 2006 exams, have been notified as 495 approx. (liable to alteration).

Restrictions on applying for Civil Services Examination

(a) A candidate who is appointed to the Indian Administrative Service or the Indian Foreign Service on the results of an earlier examination and continues to be a member of that Service will not be eligible to compete at this examination. In case such a candidate is appointed to the IAS/IFS after the Preliminary Examination of Civil Service Examination, is over and he/she continues to be a member of that service, he/she shall not be eligible to appear in the Civil Services Main Examination notwithstanding h^/her having qualified in the Preliminary Examination. Also provided that if such a candidate is appointed to

Number of Attempts : Civil Services Exams

Every candidate appearing at the Civil Services Examination, who is otherwise eligible, shall be permitted four attempts at the examination. Provided that this restriction on the number of attempts will not apply in the case of Scheduled Castes and Scheduled Tribes candidates who are otherwise eligible. Provided further that the number of attempts permissible to candidates belonging to Other Backward Classes, who are otherwise eligible, shall be seven. Note: 1. An attempt at a Preliminary Examination shall be deemed to be an attempt at the examination. 2. If a candidate actually appears in any one paper in the Preliminary examination, he shall be

Reseravation and Centers of Preliminary Examination

Union Public Service Commission holds Preliminary Examination of the Civil Services Examination during May (Notification for Preliminary Exam, is generally issued during November/December). Reservation is made for candidates belonging to Scheduled- Castes, Scheduled Tribes and Other Backward Classes in respect of vacancies as may be fixed by the Government. Centres of Examination: Agartala, Ahmedabad, Aizawl, Aligarh, Allahabad, Aurangabad, Bangalore, Bareilly, Bhopal, Mumbai (Bombay), Kolkata (Calcutta), Chandigarh, Kochi (Cochin), Cuttack, Dehradun, Delhi, Dharwar, Dispur (Guwahati), Gangtok, Hyderabad, Impbal, Itanagar, Jaipur, Jammu, Jodhpur, Jorhat, Kohima, Lucknow, Chemiai (Madras), Madurai, Nagpur, Panaji (Goa), Patna, Pondicherry, Portblair, Raipur, Ranchi, Sambalpur, Shillong, Shimla, Srinagar, Tirupati, Thiruvananthapuram (Trivandrum), Udaipur

Scheme Of The Examination of Combined Graduate Prelim Exam

Scheme Of The Examination The Combined Preliminary Examination will be of a Test for selection of candidates for the Main Examination for the different categories of posts, mentioned in the first paragraphs, and would comprise the following subjects: Paper No. of Questions Marks Duration Part A General Intelligence & General Awareness 100 100 2 Hrs Part B Arithmetic 100 100 2 Hrs Note :- a. Both Parts A & B will be of objective type (multiple choice type). b. Question Papers (Test Booklets) for both the Parts in Preliminary Exam will be set both in English and Hindi.

Plan Of Examination of Civil Services Examination

The competitive examination comprises two successive stages: (i) Civil Services (Preliminary) Examinations (Objective Type) for the selection of candidates for Main Examination; and 1 (ii) Civil Services (Main) Examination (Written and Interview) for the selection of candidates for the various services and posts. 2. The Preliminary Examination consists of two papers of Objective type (Multiple choice questions) and carry a-maximum of 450 marks in the subjects set out in sub-section (A) of Section II. This xamination is meant to serve as a screening test only;

All set for Civil Services prelims

The district administration has made all arrangements for the conduct of Civil Services Preliminary examination in the twin cities on Sunday. District Collector R.V.Chandra Vadan addressing media persons at the Collectorate here on Saturday said the preliminary examination would be held in 40 centres in the city. The zonal/ supervisory officers and candidates should reach the centres well ahead of the scheduled time. Examinations were also set up in Barkas, Kanchanbagh in the old city and adequate bandobust at every centre including those in the old city for the peaceful conduct of the exam. The Collector said that supervisorsshould be

Scheme Of The Examination of Indian Economic / Statistical Services Exam

Scheme Of The Examination The examination comprises: a. Written Examination b. Viva-Voca test of such candidates as may be called by the commission carrying a maximum of 250 marks. Written Examination The subjects of written examination, the marks allotted to each subject will be as under: Sl. No. Subject Max. Marks Indian Economic Service 1 General English 150 2 General Studies 150 3 General Economics- I 200 4 General Economics- II 200 5 Indian Economics 200 Indian Statistical Service 1 General English 150 2 General Studies 150 3 Statistics- I 200 4 Statistics- II 200 5 Statistics- III 200 i. Each Paper is of 3 hours duration ii. All question papers will be of conventional (essay) type Standard of Papers The standard of papers in General English and General Studies will be that of a graduate

Eligibility for Combined Matric Preliminary Exam

a. Age Candidate must have attained the age of 18 years and must not have attained the age of 27 years as on the first day of August of the year of examination. b. Educational Qualifications Must have passed Matriculation or equivalent or higher examination as on first day of August of the year of examination.

Velammal School Group to conduct State-level science talent examination on September 28

Velammal School Group to conduct State-level science talent examination on September 28 Chennai: The preliminary round of a State-level science talent search examination organized by the Velammal School Group will be held in the last week of this month, M.V.M. Velmohan, correspondent of the school, said on Friday. Mr. Velmohan told reporters that the first round of the examination would be held on September 28. The test based on the State board curriculum and being conducted for the third year now, would help students to assess their strengths and weaknesses. In the first year, over 56,000 students from across the State

Staff Selection Commission - Combined Graduate Level Examination 2006

Staff Selection Commission - Combined Graduate Level Examination 2006 Addendum Sub: Combined Graduate Level (Preliminary) Examination 2006 Scheme of Examination for Visually Handicapped (Blind / Partially blind) candidates with visual disability of forty percent and above. F.No.3/6/2006 P&P-I, candidates may please refer to the Notice published by the Commission in the Employment News. Rozer Samachar edition 14-20th October 2006 on the above subject matter and to note that all the visually handicapped candidates including Blind and partially blind persons with visual disability of forty percent and above, who have applied for examination and intends to avail the

All India Pre Medical / Pre Dental Entrance Examination (CBSE- AIPMT 2007)

All India Pre Medical / Pre Dental Entrance Examination (CBSE- AIPMT 2007) Exam Date: 01-Apr-2007 Details:All India Entrance Examination for Admission to MBBS/ BDS Course, 2007 under 15% merit positions in Medical/ Dental colleges. Applications are invited in the prescribed form for All India Pre-Medical / Pre-Dental Entrance Examination (AIPMT) 2007 to be conducted by the Central Board of Secondary Education (CBSE), Delhi as per the following schedule for admission to 15% of the total seats for Medical/Dental Courses in all Medical/Dental colleges run by the Union of India, State Governments, Municipal or other local authorities in India except in the

Scheme Of The Examination for Assistants’ Grade Examination

Scheme Of The Examination a. Preliminary Examination (Objective Type) The Preliminary Examination will be of a Test for selection of candidates for the Main Examination and would compromise of the following subjects: Sl No. Test No.of Questions Marks Duration 1 Reasoning Ability 75 75 3 Hrs 2 General Awareness 75 75 3 Hrs 3 Arithmetic 75 75 3 Hrs 4 Language paper English/Hindi 75 75 3 Hrs Total   300       300 Note :-- i. The papers in all the subjects will be of Objective Type (Multiple Choice Type). ii. Question Papers (Test Booklets) in Reasoning Ability, General Awareness and Arithmetic will be set both in English and Hindi. iii. Part (iv)-Language Paper (English or Hindi) will be of qualifying nature and the marks secured by the candidates in this part will

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