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Duration 1 Years |
Level Certificate |
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Type Certificate |
Eligibility 10th or Equivalent |
Certificate in Statistical Methods and Applications is an undergraduate Statistics course. Statistical Methods and Applications are the mathematical concepts, formulas, models, techniques used in the statistical analysis of random data. In comparison, deterministic methods are used where the data is easily reproducible or where its behavior is determined entirely by its initial stage and inputs. Some of the main topics of the course are general nature and scope of statistical methods elementary idea of probability. Certificate in Statistical Methods and Applications is a one-year course and India may be offered by some certain institutes on a part-time basis as well.
Syllabus of Statistical Methods and Applications as prescribed by various Universities and Colleges.
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Sr. No. |
Subject of Study |
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Section A (Compulsory) |
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| 1 |
General nature and scope of statistical methods: Collection and classification of data; different types of diagrams to represent statistical data; frequency distribution and related graphs and charts. |
| 2 |
Central tendency: Its measure and its uses. |
| 3 |
Dispersion: Its measure and their uses, Moments; skewness and kurtosis. |
| 4 |
Scatter diagram; Correlation coefficient with its properties and limitations; linear regression and its uses. |
| 5 |
Elementary idea of probability: addition and multiplication theorems; statistical independence and conditional probability; repeated trials; mathematical expectation; binomial and normal distributions with their properties and their interrelations (without proof) |
| 6 |
Elements of statistical inference: Properties of a good estimate; method of maximum likelihood; tests of significance; application of chi-square, t, F and Z tests. |
| 7 |
Elementary ideas about statistical populations: Random sampling; simple random sampling and stratified random sampling; estimates of the population mean and population total and standard errors of these estimates in both the sampling schemes. |
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Section B (optional) |
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| 1 |
Design and analysis of experiments: The analysis of variance techniques; replication; randomization and local control; analysis of completely randomized, randomized block and Latin square designs. |
| 2 |
Elements of statistical quality control: x charts; R, p, np and c charts and their uses (mainly applications); elementary idea of sampling inspection plans. |
| 3 |
Elementary theory of index numbers: Methods of construction of index numbers of prices and quantities; construction of cost of living index numbers. |
| 4 |
Time-series: Components of a time series; the moving average method of determining trend. |
| 5 |
Statistical methods in Psychology and Education: Nature of measurements in Psychology and Education; applications of the normal curve to special problems in these fields; t and Z scores; |
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