Definition: The Sampling is a statistical analysis tool wherein the data are collected from a few representative items of the universe, called as a sample, on the basis of which the characteristic of the entire population can be ascertained. Principles of Sampling There are two important principles of sampling on which the sampling theory depends on: Principle of … [Read more...] about Principles of Sampling

## Sampling

Definition: The Sampling is a statistical method wherein a certain group of representative items is selected from the universe, called as a sample, on the basis of which the conclusion for the entire population is drawn. In sampling, the data are collected from few representative items of the universe that best describes the characteristics of the population. This method is … [Read more...] about Sampling

## Census Method

Definition: The Census Method is also called as a Complete Enumeration Survey Method wherein each and every item in the universe is selected for the data collection. The universe might constitute a particular place, a group of people or any specific locality which is the complete set of items and which are of interest in any particular situation. The census method is most … [Read more...] about Census Method

## Coefficient of Determination

Definition: The Coefficient of determination is the square of the coefficient of correlation r2 which is calculated to interpret the value of the correlation. It is useful because it explains the level of variance in the dependent variable caused or explained by its relationship with the independent variable. The coefficient of determination explains the proportion of the … [Read more...] about Coefficient of Determination

## Probable Error of Correlation Coefficient

Definition: The Probable Error of Correlation Coefficient helps in determining the accuracy and reliability of the value of the coefficient that in so far depends on the random sampling. In other words, the probable error (P.E.) is the value which is added or subtracted from the coefficient of correlation (r) to get the upper limit and the lower limit respectively, within … [Read more...] about Probable Error of Correlation Coefficient

## Standard Error of Estimate

Definition: The Standard Error of Estimate is the measure of variation of an observation made around the computed regression line. Simply, it is used to check the accuracy of predictions made with the regression line. Likewise, a standard deviation which measures the variation in the set of data from its mean, the standard error of estimate also measures the variation in the … [Read more...] about Standard Error of Estimate

## Properties of Regression Coefficient

Definition: The constant ‘b’ in the regression equation (Ye = a + bX) is called as the Regression Coefficient. It determines the slope of the line, i.e. the change in the value of Y corresponding to the unit change in X and therefore, it is also called as a “Slope Coefficient.” Properties of Regression Coefficient The correlation coefficient is the geometric mean … [Read more...] about Properties of Regression Coefficient

## Regression Equation

Definition: The Regression Equation is the algebraic expression of the regression lines. It is used to predict the values of the dependent variable from the given values of independent variables. If we take two regression lines, say Y on X and X on Y, then there will be two regression equations: Regression Equation of Y on X: This is used to describe the variations in … [Read more...] about Regression Equation

## Regression Coefficient

Definition: The Regression Coefficient is the constant ‘b’ in the regression equation that tells about the change in the value of dependent variable corresponding to the unit change in the independent variable. If there are two regression equations, then there will be two regression coefficients: Regression Coefficient of X on Y: The regression coefficient of X on Y is … [Read more...] about Regression Coefficient

## Regression Line

Definition: The Regression Line is the line that best fits the data, such that the overall distance from the line to the points (variable values) plotted on a graph is the smallest. In other words, a line used to minimize the squared deviations of predictions is called as the regression line. There are as many numbers of regression lines as variables. Suppose we take two … [Read more...] about Regression Line