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Subject Details
Dept     : MCA
Sem      : 1
Regul    : 2023
Faculty : P.M.Chellapandi
phone  : NIL
E-mail  : pmchellapandi1989@gmail.com
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Syllabus

UNIT
1
STATISTICAL DATA REPRESENTATIONS

Frequency distributions of data: cumulative and relative frequency distributions- Graphical representation of data – Pie charts, Bar graphs, Histogram, Frequency Polygon and Ogives.

UNIT
2
QUANTITATIVE STASTICAL MEASURES

Measures of Central tendency: Arithmetic Mean, Median, Mode - Measures of Dispersion: Range, Quartile deviation, Standard deviation, Variance and Co-efficient of Variation.

UNIT
3
TESTING OF HYPOTHESIS

Sampling distributions – Testing of hypothesis for large samples by Z-test and small samples by Student’s t-test for single Mean, Proportion, equality of means and equality of proportions – F- test for single variance and equality of variances – Chi-square test for Goodness of fit and Independence of attributes.

UNIT
4
DESIGN OF EXPERIMENTS

ANOVA(Analysis of variance) – Completely Randomized Design(CRD-one way classification) – Randomised Block Design (RBD-two way classification) - Latin Square Design (LSD-Three way classification) - Control charts for measurements: mean chart or x - chart, R- chart.

UNIT
5
DATA ANALYSIS

Correlation analysis : Karl Pearson’s Coefficient of Correlation - Regression Analysis: Least Square fit of a Linear Regression -Two lines of Regression - Multivariate Analysis: Random vectors and matrices - mean vectors and covariance matrices – multivariate normal density function- Principal Component Analysis - Population Principal Components.

Reference Book:

1 Veerarajan.T., “Probability, Statistics and Random Processes”, Tata McGraw-Hill publishing company Limited, New Delhi, 2014. 2 R.E. Walpole, R.H. Myers, S.L. Myers, and K Ye, “Probability and Statistics for Engineers and Scientists”, Pearson Education, Asia , 8th edition, 2007. 3 Miller and Freund., “Probability and Statistics for Engineers”, Pearson Education, Asia, 7th edition, 2012. 4. Arora.P.N. and Arora.S., “Statistics for Management”, S.Chand & Company Ltd, 2009. 5. Keller, G, “Statistics for Management and Economics”, Cengage Learning (Textbook/ eBook), 2019.

Text Book:

1 Gupta.S.C., & Kapoor,V.K., “Fundamentals of mathematical statistics”, 11th edition, Sultan Chand & Sons publishers, New Delhi, 2013. 2. Levin R.I., Rubin S. David, “Statistics for Management”, Eight edition, Pearson, 2017. [e-resource: Levin R.I., Rubin S. David, “Statistics for Management”, Pearson, 2019].