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Statistics study consist on topics like F distribution, multiplication theorems, probability, random variable, T distribution, geometric probability distribution, marginal probability, sampling, skewness, symmetrical distribution and transformation, estimates. This solved assignment includes: Statistical, Error, Ordinal, Scale, Finite, Population, Quota, Random, Sampling, Frequency, Frequency, Polygon, Bar, Pie, Chart
Typology: Exercises
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Question: What is statistical error, in what way it differs from a mistake? Answer: Statistical error: A continuous variable can never be measured with perfect fineness because of certain habits and practices, methods of measurements, instruments used, etc. the measurements are thus always recorded correct to the nearest units and hence are of limited accuracy. In sta tistics the error does not mean mistake which is a chance of in accuracy because the actual or true values are, however, assumed to exist. Question: What is the difference between a nominal and an ordinal scale? Answer: ORDINAL SCALE It includes the characteristic of a nominal scale and in addition has the property of ordering or ranking of me asurements. For example, the performance of students (or players) is rated as excellent, good fair or poor, etc. Number 1, 2, 3, 4 etc. are also used to indicate ranks Question: What is Finite population and Infinite population? Answer: Finite Population: The population is Finite when it contains countable number of units. Examples: 1.Population of all licensed cars. 2.Population of all students in college. 3.Population of all houses in a country. Infinite Population: The population is Infinite when it contains uncountable number of units. Examples: 1.Population of all points in line. 2.Population of pressures at various points in the atmosphere. Question: Which is better QUOTA SAMPLING or RANDOM SAMPLING? Answer: Both Random & Quota sampling has their advantages & disadvantages. Both are used by organizations for their surveys. 1.The main advantage of Random sampling is that it provides a valid estimate of sampling error, But it is impossible to assess objectively the error in quot a sampling. 2.When quota sampling is cheap (and fast) it is usually done poorly. When it is done better, it is not all much cheaper really then efficient probability (Random) sampl ing. Random sampling is widely used in various areas such as industry, agriculture, business etc. Question: Define grouped data, ungrouped data and frequency. Answer: Grouped data - Data available in class intervals as summarized by a frequency distribution. Individual values of the original data are not a vailable. Or Data that are presented in the form of frequency distribution are called grouped data. We often group the data of a sample into intervals to produce a better over all picture of the unknown population, but in doing so we lose the identity of individual observations in the sample. Ungrouped data - Ungrouped data is th at in which raw data is not grouped. Example: 2, 3, 9, 0, 4, 4, 1, 5, 4, 8, 5, 3, 6, 6, 0, 2, 2, 7, 6, 4, 8, 4, 3, 3, 1, 0, 8, 7, 5
5, 3, 4, Definition of frequency: Number of observations in each clas s or group is called is the frequency of that class. It means “how frequently something happens?” Question: In which situation we use Pie chart simple, Bar chart and multiple bar chart? Answer: Pie Chart consists of a circle divided into sectors whos e areas are proportional to the various parts into which the whole quantity is divided. It is an effective way of showing percentage parts when the whole quantity is taken as 100. It is also used when the basic categories are not quantifiable. For example as with expenditure, classified into food, clothing, fuel and light etc. Simple Bar Diagram is used when the data consist of a single component and do not involve much variation. Multiple Bar Diagram is used represent two or more related sets of data. It is a diagram which supplies more than one information at the same time. Question: Brifly decribe the primary data and secondary data. Answer: Primary Data: Primary data are data collected by the investigators for the purposes of the study. This allows t he opportunity to improve precision and to minimize measurement bias through the use of precise definitions, systematic procedures, trained observers, and blinding duri ng data collection. Such data are usually expensive to acquire compared to secondary dat a. Secondary Data: Secondary data are data collected for purposes other than that of the study, such as patient clinical records, and are used frequently for case-control studies. Because the investigator has no control over definitions, collection procedu res,
observers (clinicians) or other opportunities for measurement bias reduction, the opportunity for bias is large. The advantag es of secondary data are that these data are usually considerably less expensive and much more readily available than are prim ary data. The severe disadvantage is the opportunity for the presence of large amounts of measurement bias. Question: define Frequency Polygon. Answer: A frequency polygon is obtained by plotting the class frequencies against the mid-points of the cl asses, and connecting the points so obtained by straight line segments. In order to construct the frequency polygon, the mid-points of the classes are taken along the X-axis and the frequencies along the Y-axis. Question: Explian how you allocate frequency.And also explain bivarite table? Answer: Steps in Frequency Distribution: Following are the basic rules to construct frequency distribution: 1. Decide the number of c lasses into which the data are to be grouped & it depends upon the size of data. 2. Determine the RANGE (difference between the smallest &largest values in data) of data. 3. Decide where to locate the class limit (numbers typically use to identify the classes). 4. Determine the reaming class limits by adding the class interval repeatedly.