1.1 Origin, meaning and history of statistics

1.2 Definition of statistics

1.3 Importance and scope of statistics

1.4 Functions of statistics

1.5 Uses of statistics in agriculture

1.6 Limitations of statistics

2.1 Introduction

2.2 Types of data

2.3 Methods of collection of primary data

2.4 Sources of collection of secondary data

2.5 Editing of data

2.6 Precautions in the use of secondary data

2.7 Classification

2.8 Definition of classification

2.9 Precautions at the time of classifying a numerical data

2.10 Basis of classification

2.11 Functions of classification

2.12 Formation of a discrete frequency distribution

2.13 Formation of a continuous frequency distribution

2.14 Tabulation – meaning and importance

2.15 Types of tables

2.16 Constituents of a table

2.17 Requisites of a good table

2.18 Functions of tabulation

3.1 Introduction

3.2 Grouped frequency distribution

3.3 Continuous frequency distribution

3.4 Relative frequency distribution

3.5 Cumulative frequency distribution

3.6 Frequency density

3.7 Relative frequency density

3.8 Variables and variates

3.9 Diagrams and graphs

3.10 Types of diagrams

3.11 Graphs of frequency distributions

3.12 Advantages of diagrams and graphs

4.1 Meaning of measures of central tendency

4.2 Characteristics for an ideal measures of central tendency

4.3 Arithmetic mean

4.4 Properties of arithmetic mean

4.5 Merits and demerits of arithmetic mean

4.6 Weighted arithmetic mean

4.7 Median

4.8 Merits and demerits of median

4.9 Uses of median

4.10 Mode

4.11 Merits and demerits of mode

4.12 Uses of mode

4.13 Geometric mean

4.14 Merits and demerits of geometric mean

4.15 Uses of geometric mean

4.16 Harmonic mean

4.17 Merits and demerits of harmonic mean

4.18 Selection of an average

4.19 Partition values

4.20 Graphical estimation of the partition values

4.21 Graphical estimation of mode

5.1 Meaning of dispersion

5.2 Requisites for an ideal measures of dispersion

5.3 Measures of dispersion

5.4 Root mean square deviation

5.5 Relation between o and s

5.6 Simplified formula for variance

5.7 Effect of change of origin and scale on variance and standard deviation

5.8 Variance and standard deviation of the combined distribution

5.9 Co-efficient of dispersion

5.10 Co-efficient of variation

5.11 Sheppard’s correction for variance

5.12 Skewness

5.13 Measures of skewness

5.14 Kurtosis

6.1 Introduction

6.2 Random experiment

6.3 Sample space

6.4 Trial and events

6.5 Exhaustive events

6 .6 Favourable events

6.7 Mutually exclusive events

6 .8 Equally likely events

6.9 Independent events

6 .10 Mathematical or classical definition of probability

6 .11 Limitations of mathematical or classical definition

6 .12 Statistical or empirical definition of probability

6.13 Additive law of probability

6.14 Multiplicative law of probability

6.15 Mathematical expectation

6.16 Additive law of expectation

6.17 Multiplicative law of expectation

6.18 Co-variance

7.1 Introduction

7.2 Binomial distribution

7.3 Assumptions of binomial distribution

7.4 Mean and variance of binomial distribution

7.5 Recurrence relation for the probabilities of binomial distribution

7.6 Poisson distribution

7.7 Examples of Poisson distribution

7.8 Mean and variance of Poisson distribution

7.9 Recurrence relation for the probabilities of Poisson distribution

7.10 Normal distribution

7.1 1 Chief properties of normal distribution and normal probability curve

7.12 Mode of normal distribution

7.13 Median of normal distribution

7.14 The sum of two independent normal variates is also a normal variate.

7.15 Applications of normal distribution

8.1 Introduction

8.2 Fitting of other curves

8.3 Fitting of polynomial of pth degree

8.4 Fitting of a straight line through matrix approach

8.5 Change of origin

9.1 Introduction

9.2 Scatter diagram

9.3 Karl Pearson’s co-efficient of correlation

9.4 Correlation co-efficient is independent of change of origin and scale of data

9.5 Properties of correlation co-efficient

9.6 An example

9.7 Rank correlation

9.8 Interpretation of coefficient of correlation

9.9 Regression

9.10 Lines of regression

9.11 Properties of regression coefficient

9.12 Angle between two lines of regression

9.13 Multiple and partial correlation

9.14 Yule’s notation

9.15 Derivation of the equation of the plane of regression

9.16 Multiple correlation coefficient

9.17 Partial correlation coefficient

9.18 Multiple correlation in terms of total and partial correlations

10.1 Introduction

10.2 Statistic and parameter

10.3 Sampling distribution

10.4 Standard error

10.5 Chi-square distribution

10.6 Student’s t distribution

10.7 F-distribution

10.8 Tests of significance

10.9 Errors

10.10 Critical regions

10.11 Null hypothesis

10.12 Level of significance

10.13 Tests of significance for large samples

10.14 Conditions for the validity of x2 test

10.15 Yates correction for continuity of x2 test

10.16 Tests of significance for small samples.

10.17 F-test for equality of population variances.

11.1 Introduction

11.2 Assumptions of analysis of variance

11.3 Linear model

11.4 Technique of analysis of variance

11.5 Computational procedure for the analysis of one way classified data under fixed effects model

11.6 Analysis of two way classified data

1 1 .7 Computational procedure for the analysis of two way classified data under fixed effects model

11.8 Analysis of two way classified data with s observations per cell.

1 1 .9 Computational procedure for the analysis of two way classified data with s observations per cell.

11.10 Importance of the technique of analysis of variance.

12.1 Introduction

12.2 Characteristics of index numbers

12.3 Importance of index numbers

12.4 Problems in the construction of index numbers

12.5 Kinds of index numbers

12.6 Tests of consistency for index numbers

12.7 Chain index number

12.8 Difference between fixed base and chain base index numbers.

12.9 Cost of living index number.

13.1 Introduction

13.2 Components of time series

13.3 Methods of measuring trend

13.4 Methods of measuring seasonal fluctuations

13.5 Methods of measuring cyclical fluctuations.