Statistical Methods

Paper III Statistical Methods

UNIT-I

Concept of statistical population, Attributes and variables (discrete and Continuous).

Different types of scales – nominal, ordinal, ratio and interval. Primary data – designing a
questionnaire and schedule, collection of primary data, checking their consistency. Secondary
data. scrutiny of data for internal consistency and detection of errors of recording. Ideas of
cross validation. Presentation of data : classification, tabulation, diagrammatic & graphical
representation of grouped data. Frequency distributions , cumulative frequency distributions
and their graphical representations , histogram, frequency polygon and ogives . Stem and Leaf
plot. Box Plot.

UNIT-II

Measure of central tendency and dispersion, merits and demerits of these measures. Moments
and factorial moments. Shephard’s correction for moments. Skewness and Kurtosis and their
Measures. Measures based on quartiles. Bivariate data, Method of least squares for curve
fitting.

UNIT-III

Correlation and regression, rank Correlation ( Spearman’s and Kendall’s measure), Intraclass
correlation, correlation ratio. Partial and Multiple Correlation & Multiple Regression for
Tri-variate data.

UNIT-IV

Attributes- Notion and terminology, contingency table, class frequencies, and ultimate class
frequencies, consistency. Association of attributes, Independence, Measure of association for
2x2 table. Chi-square, Karl Pearson’s and Tschuprow’s coefficient of association.
Contingency tables with ordered categories.