Statistics

Origin and Meaning of the Term 'Statistics'

The word statistics is derived from two roots:

• "Status" (Latin word): Refers to political state or political status.

• "Statista" (Italian word): Refers to a statesman.

Historically, statistics was associated with the collection of data about the state or government, but its scope has expanded to include various fields.

Definition of Statistics

Statistics is the study of methods for:

• Collection of data

• Classification/Organization of data

• Analysis of data

• Presentation/Interpretation of data

These steps form the foundation of statistical inquiry, enabling researchers to draw meaningful conclusions from raw information.

Key Figures in the History of Statistics

• Founder of Statistics:

  • John Graunt and William Petty (circa 1662): Recognized for pioneering work in demographic and social statistics.

• Father of Statistics:

  • Sir Ronald Fisher: Developed fundamental statistical techniques, including Analysis of Variance (ANOVA).

  • Karl Pearson: Known for contributions to graphical statistics and statistical theory.

• Father of Indian Statistics:

  • Prasanta Chandra Mahalanobis: Introduced the Mahalanobis distance and established the Indian Statistical Institute in Kolkata.

Major Steps in Statistical Investigation

1. Collection: Gathering raw data from various sources.

2. Classification/Organization: Arranging data into meaningful categories or groups.

3. Analysis: Applying mathematical or statistical methods to extract patterns and relationships.

4. Presentation/Interpretation: Displaying results using tables, charts, or graphs and drawing conclusions.

Important Terms and Concepts

• ANOVA (Analysis of Variance): A statistical method developed by Ronald Fisher to compare means among groups.

• Mahalanobis Distance: A measure introduced by P.C. Mahalanobis to determine the distance between a point and a distribution.

Table: Key Contributors in Statistics

Example: Application of Statistics

Suppose a researcher wants to study the average height of students in a college. The process would involve:

• Collection: Measuring the height of each student.

• Classification/Organization: Grouping heights by age or gender.

• Analysis: Calculating the mean, median, and mode of the heights.

• Presentation/Interpretation: Displaying results in a bar chart and interpreting the findings.

Key Formulas

• Mean (Average):

• Mahalanobis Distance:

• ANOVA (General Formula):

Additional info: The notes also mention the role of statistics in policy formulation and individualization, especially in the context of Indian statistics and the Second Five-Year Plan (2nd FYP).