Thursday, June 2, 2022

Introduction to Statistics: Part 1

Some Quotes


 “Statistics must have a clearly defined purpose one aspect of which is scientific advance and other, human welfare and national development” – P C Mahalanobis

“Statistics is the Grammar of Science” – Karl Pearson

“Facts are stubborn things, but statistics are pliable” – Mark Twain

 Definition   

“The Statistics refers to a branch of data and   mathematics which specializes in enumeration their         relation to metric data” (Guilford and Fruchter, 1978).

“Mathematical procedures used to describe data and draw inferences from them”

(Baron, 1993).

Why a Psychology Student Need to Study Statistics??

Owing to the dynamic nature and uncertainty of human behaviour the psychology researchers find it extremely difficult to conduct purely objective laboratory experiments. But the social researcher needs to explain and predict human behaviour. To overcome it, psychologists’ resort to study in controlled environment and then apply various rigorous statistical methods to predict the probability of occurrence of specific type of behaviour.

 

As Guilford and Fruchter (1978) rightly commented that statistical methods are the constant companions of experiments and of course of psychologists too. Few more reasons:

(i)        To read and understand advanced research reports.

(ii)       To be a researcher we need to know statistics.

(iii)      Statistics helps in exploring causal relations.

(iv)      Statistics is known to develop analytical, reasoning and critical thinking ability.

 

Historical Perspective from Indian Point of View

The fundamental aim of statistics is to give determinate and adequate knowledge of reality with the help of numbers and numerical analysis. In India we have clear evidence that administrative statistics had reached a high state of organization before 300 B.C.E. In the Arthasastra of Kautilya … the duties of the Gopa, the village accountant, [include] “by setting up boundaries to villages, by numbering plots of grounds as cultivated, uncultivated, plains, wet-lands, gardens, vegetable gardens, fences (váta), forests altars, temples of gods, irrigation works, cremation grounds, feeding houses (sattra), places where water is freely supplied to travellers (prapá), places of pilgrimage, pasture grounds and roads, and thereby fixing the boundaries of various villages, of fields, of forests, and of roads, he shall register gifts, sales, charities, and remission of taxes regarding fields (P C Mahalanobis).

 

Introduction

Statistics must be essential part of professional training because it enable the researchers to summarize the results in a meaningful and convenient form (Guilford and Fruchter, 1978). The statistics helps the researcher in standardizing the procedures, analysis of data and causal factors, summarizing results, generalization of results, and prediction. In social sciences & psychology various statistical techniques are used such as measuring central tendencies, correlations, regression, analysis of variance etc. All these are achieved only when we have certain type of classified or categorized data because it acts as a raw material for the statistical procedures. The raw data is arranged in various categories such as frequencies, percentages, proportions

and ratios.

(i)        Frequencies – No. of objects or events in a specific category.

(ii)       Percentage – A kind of mathematical index with base 100.

(iii)      Proportions – It is part or fraction of 1 and 𝟏/𝟏𝟎𝟎  of a percentage or percentage is 100 times proportion. Its base is 1.

(iv)      Ratio – Ratio is a fraction i.e. ratio of m to n is 𝒎/𝒏. Its base is 1. Ratio is part to total as well as part. Whereas proportion is part to total. Proportion is a special ratio.

 

Types of Statistics

1.       Non-Parametric statistics – Statistical tests which are not based on a normal distribution of data or on any other assumption are also known as distribution-free tests and the data are generally ranked or grouped.

2.       Parametric statistics – Statistical tests which are based on a normal distribution of data or data that meets normal distribution assumptions. Parametric tests normally involve data in absolute numbers or values.

 

References:

Guilford, J. P. and Fruchter, B. (1978). Fundamental Statistics in Psychology and Education, 6th ed. Tokyo: McGraw-Hill.

https://todayinsci.com/M/Mahalanobis_Prasanta/MahalanobisPrasanta-Quotations.htm.

Garrett, H. E. (2014). Statistics in Psychology and Education. New Delhi: Pragon International.

Levin, J. & Fox, J. A. (2006). Elementary Statistics. New Delhi: Pearson.

 

 

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