Wednesday, September 21, 2016

Sampling & Central tendency


Descriptive Statistics
It is used to analyze and represent the data that have been previously collected. It includes frequency counts, ranges (high and low scores or values), means, modes, median scores, and standard deviations

Central Tendency
Central tendency is a statistical measure to determine a single score that defines the center of distribution. Covers: Mean, median, mode

Frequency distribution
Frequency distribution is an organized tabulation of the number of individuals located in each category on the scale of measurement. Graps used: Histogram, Frequency polygon, Bar diagram etc.

Mean
The mean, is commonly known as arithmetic average, is computed by adding all the scores in the distribution and dividing by the number of scores. Formula ยต = SX/N

Median
The median is the score that divides a distribution exactly in half.
When N is an odd number : 3, 5, 8, 10, 11; Then its median will be = Median = 8.
When the N is an even number: 3, 3, 4, 5, 7, 8; Median =  4 + 5 / 2 = 9 /2 = 4.5

Mode
The final measure of central tendency is called mode. In a frequency distribution the mode is the score or category that has the greatest frequency. A set of scores = X = 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 2, 2, 1, 1. Now in this data  4 is the mode because it is has the greatest frequency

Normal distribution
A normal distribution is an arrangement of a data set in which most values cluster in the middle of the range and the rest tapper off symmetrically toward either extreme. Its graph called bell curve as it has flattered shape.

Types of sampling
Deliberate sampling-it is a sampling technique where researcher purposively or deliberately selects certain units of the universe to form a sample that would represent the universe

Simple random sampling-it is kind of sampling in which sample group members are selected in a random manner

Systematic random sampling-it is a sampling technique where a random starting point is selected and then every Kth member of the population is selected

Stratified random sampling- sampling technique in which a population is divided into subgroups called ‘strata’ and then sample is randomly selected from each ‘stratum’

Quota sampling- sampling technique where sample group members are selected based on specific criteria

Cluster sampling-Cluster sampling involves grouping the population and then selecting the groups or the clusters rather than individual elements for inclusion in the sample

Multistage sampling- referred as two stage sampling. In the first stage a sample of area is chosen then in the second stage a sample of respondents within the areas is selected

Sequential sampling- sampling technique wherein researcher picks a single or group of subjects in a given time interval, conducts his study, analyzes the result and picks another group of subjects if needed and so on. It is a complex sample design where the ultimate size of the sample is not fixed