{"id":933,"date":"2022-11-03T22:18:00","date_gmt":"2022-11-03T20:18:00","guid":{"rendered":"https:\/\/support.centreforelites.com\/types-of-statistics\/"},"modified":"2024-04-08T18:43:54","modified_gmt":"2024-04-08T16:43:54","slug":"2-types-of-statistics-applied-in-educational-psychology","status":"publish","type":"post","link":"https:\/\/support.centreforelites.com\/en\/2-types-of-statistics-applied-in-educational-psychology\/","title":{"rendered":"2 Types of Statistics Applied in Educational Psychology"},"content":{"rendered":"<p><span style=\"font-family: 'Times New Roman', serif; text-align: justify;\">There are two basic types of statistics used in all areas of research, namely descriptive statistics and inferential statistics.<\/span><\/p>\n<p style=\"line-height: 115%; margin: 12.0pt 0cm 12.0pt 18.0pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-align: justify; text-indent: -18pt;\"><!-- [if !supportLists]--><span style=\"font-family: 'Times New Roman',serif; font-size: 11pt; line-height: 115%; mso-ansi-language: EN-GB;\">(i)<span style=\"font-family: 'Times New Roman'; font-size: 7pt; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: normal;\">\u00a0\u00a0\u00a0\u00a0 <\/span><\/span><!--[endif]--><span style=\"font-family: 'Times New Roman',serif; font-size: 11pt; line-height: 115%; mso-ansi-language: EN-GB;\">Descriptive statistics: This consists of methods for organizing, displaying, and describing data by using tables, graphs, and numerical measures. Most of the statistical information in newspapers, magazines, company reports, and other publications consists of data that are summarised and presented in a form that is easy for the reader to understand (i.e. Descriptive form).<a href=\"https:\/\/support.centreforelites.com\/en\/descriptive-statistics\/\"><b> Descriptive statistics<\/b><\/a> are used to summarize results of research or to help the teacher give the best description of examination results in the school. For example, the Grade 12 results for 2011 were the best at David Livingstone High because for the first time the school recorded 25% of those who got 10 points and below.<\/span><\/p>\n<p style=\"line-height: 115%; margin: 12.0pt 0cm 12.0pt 18.0pt; mso-add-space: auto; mso-list: l0 level1 lfo1; tab-stops: 45.3pt; text-align: justify; text-indent: -18pt;\"><!-- [if !supportLists]--><span style=\"font-family: 'Times New Roman',serif; font-size: 11pt; line-height: 115%; mso-ansi-language: EN-GB;\">(ii)<span style=\"font-family: 'Times New Roman'; font-size: 7pt; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: normal;\">\u00a0\u00a0 <\/span><\/span><!--[endif]--><span style=\"font-family: 'Times New Roman',serif; font-size: 11pt; line-height: 115%; mso-ansi-language: EN-GB;\">Inferential Statistics: consist of methods for drawing and measuring the reliability of conclusions about population based on the information obtained from a sample of the population. For example, we may make some decisions about the political views of all college and university students based on the political views of 1000 students selected from a few colleges and universities. <b>Inferential Statistics<\/b>are used to arrive at general conclusions from research results and to test hypotheses. Inferential statistics could be used by the teacher to draw general conclusions from test results in a particular subject about how the performance of learners could be in that subject during the final examination.<\/span><\/p>\n<p style=\"line-height: 115%; margin: 12.0pt 0cm 12.0pt 18.0pt; mso-add-space: auto; mso-list: l0 level1 lfo1; tab-stops: 45.3pt; text-align: justify; text-indent: -18pt;\">\n<div style=\"clear: both; text-align: center;\"><a style=\"margin-left: 1em; margin-right: 1em;\" href=\"https:\/\/i0.wp.com\/d1m75rqqgidzqn.cloudfront.net\/wp-data\/2021\/06\/14125401\/image-24.png?ssl=1\"><img data-recalc-dims=\"1\" fetchpriority=\"high\" decoding=\"async\" title=\"Types of Statistics: Descriptive and Inferential Statistics\" src=\"https:\/\/i0.wp.com\/d1m75rqqgidzqn.cloudfront.net\/wp-data\/2021\/06\/14125401\/image-24.png?resize=640%2C456&#038;ssl=1\" alt=\"Types of Statistics: Descriptive and Inferential Statistics\" width=\"640\" height=\"456\" border=\"0\" data-original-height=\"488\" data-original-width=\"685\" \/><\/a><\/div>\n<p><span style=\"font-family: 'Times New Roman',serif; font-size: 11pt; line-height: 115%; mso-ansi-language: EN-GB;\">\u00a0<\/span><\/p>\n<h2 style=\"line-height: 115%; margin: 12.0pt 0cm 12.0pt 0cm; text-align: justify;\"><b><span style=\"font-family: 'Times New Roman',serif; mso-ansi-language: EN-GB;\">Importance of statistics<\/span><\/b><\/h2>\n<p style=\"line-height: 115%; margin: 12.0pt 0cm 12.0pt 0cm; text-align: justify;\"><span style=\"font-family: 'Times New Roman',serif; mso-ansi-language: EN-GB;\">Statistics tell us how often something happens and in education, statistics are used among other things:<\/span><\/p>\n<p style=\"line-height: 115%; margin: 12.0pt 0cm 12.0pt 18.0pt; tab-stops: 41.25pt; text-align: justify; text-indent: -18pt;\"><span style=\"font-family: 'Times New Roman',serif; mso-ansi-language: EN-GB;\">(a)\u00a0 To help educators summarise educational results using the most desirable options during the teaching and learning process.<\/span><\/p>\n<p style=\"line-height: 115%; margin: 12.0pt 0cm 12.0pt 18.0pt; tab-stops: 41.95pt; text-align: justify; text-indent: -18pt;\"><span style=\"font-family: 'Times New Roman',serif; mso-ansi-language: EN-GB;\">(b)\u00a0 To manipulate educational results, educators need to be knowledgeable about the vocabulary, concepts, and statistical procedures used in statistical studies.<\/span><\/p>\n<p style=\"line-height: 115%; margin: 12.0pt 0cm 12.0pt 18.0pt; tab-stops: 41.95pt; text-align: justify; text-indent: -18pt;\"><span style=\"font-family: 'Times New Roman',serif; mso-ansi-language: EN-GB;\">(c)\u00a0 Statistics are also used to help describe the results of studies and to reach feasible conclusion based on the results.<\/span><\/p>\n<h2 style=\"line-height: 115%; text-align: left;\"><b><span style=\"font-family: 'Times New Roman',serif; mso-ansi-language: EN-GB;\">Limitations of Statistics<\/span><\/b><\/h2>\n<p style=\"line-height: 115%; margin: 12.0pt 0cm 12.0pt 0cm; text-align: justify;\"><span style=\"font-family: 'Times New Roman',serif; mso-ansi-language: EN-GB;\">Statistics are not a pane seer to all problems. Statistical methods have a limitation when certain problems cannot be quantified, such as happiness, sadness, love, depression and so on. However, there are some qualitative methods which can be used to analyse situations which can\u2019t be quantified. Below we discuss a few limitations:<\/span><\/p>\n<p style=\"line-height: 115%; margin: 12.0pt 0cm 12.0pt 36.0pt; mso-add-space: auto; mso-list: l2 level1 lfo2; text-align: justify; text-indent: -18pt;\"><!-- [if !supportLists]--><span style=\"font-family: Symbol; font-size: 11pt; line-height: 115%; mso-ansi-language: EN-GB; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;\">\u00b7<span style=\"font-family: 'Times New Roman'; font-size: 7pt; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: normal;\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/span><!--[endif]--><span style=\"font-family: 'Times New Roman',serif; font-size: 11pt; line-height: 115%; mso-ansi-language: EN-GB;\">Qualitative aspect ignored: The statistical methods don&#8217;t study the nature of phenomenon which cannot be expressed in quantitative terms. Such phenomena cannot be a part of the study of statistics. These include health, riches, intelligence, happiness, sadness, love, depression etc. It needs conversion of qualitative data into quantitative data.<\/span><\/p>\n<p style=\"line-height: 115%; margin: 12.0pt 0cm 12.0pt 36.0pt; mso-add-space: auto; mso-list: l2 level1 lfo2; text-align: justify; text-indent: -18pt;\"><!-- [if !supportLists]--><span style=\"font-family: Symbol; font-size: 11pt; line-height: 115%; mso-ansi-language: EN-GB; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;\">\u00b7<span style=\"font-family: 'Times New Roman'; font-size: 7pt; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: normal;\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/span><!--[endif]--><span style=\"font-family: 'Times New Roman',serif; font-size: 11pt; line-height: 115%; mso-ansi-language: EN-GB;\">Results are true only on average: Usually Statistics deals with only aggregates of facts or items and it does not recognize any individual item. Further, the results are interpolated for which time series or regression or probability can be used. These are not absolutely true.<\/span><\/p>\n<p style=\"line-height: 115%; margin: 12.0pt 0cm 12.0pt 36.0pt; mso-add-space: auto; mso-list: l2 level1 lfo2; text-align: justify; text-indent: -18pt;\"><!-- [if !supportLists]--><span style=\"font-family: Symbol; font-size: 11pt; line-height: 115%; mso-ansi-language: EN-GB; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;\">\u00b7<span style=\"font-family: 'Times New Roman'; font-size: 7pt; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: normal;\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/span><!--[endif]--><span style=\"font-family: 'Times New Roman',serif; font-size: 11pt; line-height: 115%; mso-ansi-language: EN-GB;\">It does not depict the entire story of phenomenon: This is when phenomenon happens that is due to many causes, but all these causes cannot be expressed in terms of data. So we cannot reach at the correct conclusions. So we analyse only the data we find quantitatively and not qualitatively.<\/span><\/p>\n<p style=\"line-height: 115%; margin: 12.0pt 0cm 12.0pt 36.0pt; mso-add-space: auto; mso-list: l2 level1 lfo2; text-align: justify; text-indent: -18pt;\"><!-- [if !supportLists]--><span style=\"font-family: Symbol; font-size: 11pt; line-height: 115%; mso-ansi-language: EN-GB; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;\">\u00b7<span style=\"font-family: 'Times New Roman'; font-size: 7pt; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: normal;\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/span><!--[endif]--><span style=\"font-family: 'Times New Roman',serif; font-size: 11pt; line-height: 115%; mso-ansi-language: EN-GB;\">It is liable to be miscued: One of the shortcomings of statistics is that they do not bear on their face the label of their quality. Data may have been collected by inexperienced persons or they may have been dishonest or biased. So data must be used with a caution. Otherwise results may prove to be disastrous.<\/span><\/p>\n<p style=\"line-height: 115%; margin: 12.0pt 0cm 12.0pt 36.0pt; mso-add-space: auto; mso-list: l2 level1 lfo2; text-align: justify; text-indent: -18pt;\"><!-- [if !supportLists]--><span style=\"font-family: Symbol; font-size: 11pt; line-height: 115%; mso-ansi-language: EN-GB; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;\">\u00b7<span style=\"font-family: 'Times New Roman'; font-size: 7pt; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: normal;\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/span><!--[endif]--><span style=\"font-family: 'Times New Roman',serif; font-size: 11pt; line-height: 115%; mso-ansi-language: EN-GB;\">Laws are not exact: As far as two fundamental laws are concerned with statistics, law of inertia of large numbers\u00a0and law of statistical regularity\u00a0are not as good as their science laws as\u00a0 they are based on probability. So the results will not always be as good as of scientific laws. Here only approximations are made.<\/span><\/p>\n<p style=\"line-height: 115%; margin: 12.0pt 0cm 12.0pt 36.0pt; mso-add-space: auto; mso-list: l2 level1 lfo2; tab-stops: 366.9pt; text-align: justify; text-indent: -18pt;\"><!-- [if !supportLists]--><span style=\"font-family: Symbol; font-size: 11pt; line-height: 115%; mso-ansi-language: EN-GB; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;\">\u00b7<span style=\"font-family: 'Times New Roman'; font-size: 7pt; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: normal;\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/span><!--[endif]--><span style=\"font-family: 'Times New Roman',serif; font-size: 11pt; line-height: 115%; mso-ansi-language: EN-GB;\">Too many methods to study problems. In tins subject we use so many methods to find a single result. Variation can be found by <a href=\"https:\/\/en.wikipedia.org\/wiki\/Interquartile_range#Quartile_deviation\" target=\"_blank\" rel=\"noopener\">quartile deviation<\/a>, mean deviation or standard deviations and results vary in each case.<\/span><\/p>\n<p style=\"line-height: 115%; margin: 12.0pt 0cm 12.0pt 36.0pt; mso-add-space: auto; mso-list: l2 level1 lfo2; text-align: justify; text-indent: -18pt;\"><!-- [if !supportLists]--><span style=\"font-family: Symbol; font-size: 11pt; line-height: 115%; mso-ansi-language: EN-GB; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;\">\u00b7<span style=\"font-family: 'Times New Roman'; font-size: 7pt; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: normal;\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/span><!--[endif]--><span style=\"font-family: 'Times New Roman',serif; font-size: 11pt; line-height: 115%; mso-ansi-language: EN-GB;\">Statistical results are not always beyond doubt: &#8220;Statistics deals only with measurable aspects of things and therefore, can seldom give the complete solution to problem. In short, they provide a basis for judgement but not the whole judgment.<\/span><\/p>\n<h2 style=\"line-height: 115%; margin: 12.0pt 0cm 12.0pt 0cm; tab-stops: 29.0pt; text-align: justify;\"><b><span style=\"font-family: 'Times New Roman',serif; mso-ansi-language: EN-GB;\">Role (Function) of a Statistician in <a href=\"https:\/\/kanyarwandamugisha.blogspot.com\/2022\/11\/research-and-common-sense.html\" target=\"_blank\" rel=\"noopener\">Research<\/a><\/span><\/b><\/h2>\n<p style=\"line-height: 115%; margin: 12.0pt 0cm 12.0pt 25.1pt; mso-add-space: auto; mso-list: l1 level1 lfo3; text-align: justify; text-indent: -18pt;\"><!-- [if !supportLists]--><span style=\"font-family: Symbol; font-size: 11pt; line-height: 115%; mso-ansi-language: EN-GB; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;\">\u00b7<span style=\"font-family: 'Times New Roman'; font-size: 7pt; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: normal;\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/span><!--[endif]--><span style=\"font-family: 'Times New Roman',serif; font-size: 11pt; line-height: 115%; mso-ansi-language: EN-GB;\">Acquisition (collection of data): The primary concern of a statistician is acquisition of data using either sample surveys or experiments. In doing this, the statistician has to make a decision on the survey procedure if they are using a sample survey. Hence the statistician needs to determine; the type of data need to be collected, the data collection techniques, the sample size need, sampling methods and so on.<\/span><\/p>\n<p style=\"line-height: 115%; margin: 12.0pt 0cm 12.0pt 25.1pt; mso-add-space: auto; mso-list: l1 level1 lfo3; text-align: justify; text-indent: -18pt;\"><!-- [if !supportLists]--><span style=\"font-family: Symbol; font-size: 11pt; line-height: 115%; mso-ansi-language: EN-GB; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;\">\u00b7<span style=\"font-family: 'Times New Roman'; font-size: 7pt; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: normal;\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/span><!--[endif]--><span style=\"font-family: 'Times New Roman',serif; font-size: 11pt; line-height: 115%; mso-ansi-language: EN-GB;\">Selection of the best method for making inferences: Once data has been collected and run through the computer, the next thing is to choose the method for making inferences. Depending on the sample size and whether a probability sampling was used or not, difference inference methods would be chosen. There are two types of tests which are usually employed.<\/span><\/p>\n<p style=\"line-height: 115%; margin: 12.0pt 0cm 12.0pt 44.5pt; mso-add-space: auto; mso-list: l3 level3 lfo4; mso-text-indent-alt: -9.0pt; tab-stops: 46.55pt; text-align: justify; text-indent: -44.5pt;\"><!-- [if !supportLists]--><span style=\"font-family: 'Times New Roman',serif; font-size: 11pt; line-height: 115%; mso-ansi-language: EN-GB;\"><span style=\"font-family: 'Times New Roman'; font-size: 7pt; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: normal;\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span>(a)<span style=\"font-family: 'Times New Roman'; font-size: 7pt; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: normal;\">\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/span><!--[endif]--><b><span style=\"font-family: 'Times New Roman',serif; font-size: 11pt; line-height: 115%; mso-ansi-language: EN-GB;\">Parametric Tests:<\/span><\/b><span style=\"font-family: 'Times New Roman',serif; font-size: 11pt; line-height: 115%; mso-ansi-language: EN-GB;\"> These tests assume that you want to say something about the population parameter based on the sample drawn using probability sampling methods. These tests are exclusive to quantitative type of data.<\/span><\/p>\n<p style=\"line-height: 115%; margin: 12.0pt 0cm 12.0pt 44.5pt; mso-add-space: auto; mso-list: l3 level3 lfo4; mso-text-indent-alt: -9.0pt; tab-stops: 46.55pt; text-align: justify; text-indent: -44.5pt;\"><!-- [if !supportLists]--><span style=\"font-family: 'Times New Roman',serif; font-size: 11pt; line-height: 115%; mso-ansi-language: EN-GB;\"><span style=\"font-family: 'Times New Roman'; font-size: 7pt; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: normal;\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span>(b)<span style=\"font-family: 'Times New Roman'; font-size: 7pt; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: normal;\">\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/span><!--[endif]--><span style=\"font-family: 'Times New Roman',serif; font-size: 11pt; line-height: 115%; mso-ansi-language: EN-GB;\">Non-parametric Tests: Nonparametric tests are sometimes called distribution-free tests because they are based on fewer assumptions (i.e. they do not assume any probability distribution of an outcome)<\/span><\/p>\n<p><b><span style=\"font-family: 'Times New Roman',serif; font-size: 11pt; line-height: 107%; mso-ansi-language: EN-GB; mso-bidi-language: AR-SA; mso-fareast-font-family: 'Times New Roman'; mso-fareast-language: EN-US;\">Determination (<a href=\"https:\/\/support.centreforelites.com\/en\/master-monitoring-and-evaluation-in-5-minutes\/\">Evaluation<\/a>) of the goodness of the inference<\/span><\/b><span style=\"font-family: 'Times New Roman',serif; font-size: 11pt; line-height: 107%; mso-ansi-language: EN-GB; mso-bidi-language: AR-SA; mso-fareast-font-family: 'Times New Roman'; mso-fareast-language: EN-US;\">: the interest is to try and establish how accurately a sample value estimates the population value. If you are using probability sampling, the sample statistic will not equal the true population parameter, hence there is need to determine the margin of error. That is how close it is to the real value.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>There are two basic types of statistics used in all areas of research, namely descriptive statistics and inferential statistics. 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