Shree GaneshA Statistics

 ONE-SAMPLE TESTS RUN TEST One of the fundamental assumptions of the parametric test is that the observed data are random and test statistic and the subsequent analysis are based on this assumption. It is always better to check whether this assumption is true or not. A very simple tool for checking this assumption is run test. This section is devoted to throw light on the run test. Before discussing the run test first we have to explain what we mean by a “run”. A run in observations, is defined as a sequence of letters or symbols of one kind, immediately preceded and succeeded by letters of other kind or no letters. For example a sequence of two letters H and T as given below: HHTHTTTHTHHHTTT                                                                                                             In this sequence, we start with first letter H and go up to other kind of letter, that is, T. In this way, we get first run of two H’s. Then we start with this T and go up to other kind of l

 Index Number      Introduction  We seen in measures of central tendency the data can be reduced to a single figure by calculating an average and two series can be compared by their averages. But the data are homogeneous then the average is meaningful. (Data is homogeneous means data in same type). If the two series of the price of commodity for two years. It is clear that we cannot compare the cost of living for two years by using simple average of the price of the commodities. For that type of problem we need type of average is called Index number. Index number firstly defined or developed to study the effect of price change on the cost of living. But now days the theory of index number is extended to the field of wholesale price, industrial production, agricultural production etc. Index number is like barometers to measure the change in change in economics activities.   An index may be defined as a " specialized  average designed to measure the change in the level of a phenomen