Data Analysis

1. Data Analysis & Processing Fundamentals

Meaning of Data Analysis: Data analysis is the process of gathering, arranging, classifying, modeling, and analyzing data with the purpose of generating useful information, making suggestions, supporting conclusions, and aiding decision-making.

💡 In Simple Words: Data analysis transforms raw facts into actionable insights through systematically grouping, modeling, and evaluating data.

5 Data Processing Procedures

1. Editing
2. Coding
3. Classification
4. Tabulation
5. Summarizing

Data processing techniques make raw data valid, simple, reliable, and organized by nature, quality, and trends.

Tabulation: Advantages & Essential Structure

5 Advantages of Tabulation
  • Makes data easily understandable
  • Facilitates quick comparison
  • Saves time and energy
  • Avoids unnecessary repetition
  • Aids easy retention/memory
8 Main Parts of a Table
  1. Table Number
  2. Table Title
  3. Column Caption
  4. Row Title (Stub)
  5. Body of Table
  6. Head Note
  7. Footnote
  8. Sources

2. Diagrams & Graphical Presentations

8 Rules for Constructing Diagrams

🧠 Mnemonic: T-P-S-N-F-S-S-I (Title, Proportion, Scale, Neatness, Footnote, Selection, Simplicity, Index)
  1. Title: Clear and self-explanatory header.
  2. Proper Proportion: Balanced ratio between width and height.
  3. Selection of Scale: Appropriate units for accurate presentation.
  4. Neatness & Cleanliness: Legible layout without clutter.
  5. Footnote: Clarifying details appended at the bottom.
  6. Selection of Diagram: Right chart type for data nature.
  7. Simplicity: Easy to comprehend visually.
  8. Index: Guide key to symbols or color codes used.

Classification of Diagrams and Graphs

Category Types & Descriptions
Bar Diagrams Simple: Presents single dimension/characteristic.
Sub-divided: Displays total values divided into constituent parts.
Percentage: Highlights component variables in percentage format.
Multiple: Displays two or more data sets side-by-side.
Pie Chart Diagrammatic presentation of data converting percentages into proportions of a 360° circle.
Types of Graphs Time Series Graph: Data distribution over time units.
Scatter Diagram: Maps bivariate distribution between two variables.
Functional Graphs: Shows Linear (straight line) vs. Non-linear (curved line) relationships.

3. Quantitative Analysis: Descriptive & Inferential Statistics

Descriptive Statistics

Tools used to explain activities or fundamental characteristics of data.

  • Frequency Distribution
  • Central Tendency: Mean (Simple, Weighted, Geometric), Median
  • Dispersion: Range, Quartile Deviation, Mean Deviation, Standard Deviation, CV
Inferential Statistics

Estimates population parameters based on sample data analysis.

  • Estimation Statistics: Confidence intervals & Parameter estimation
  • Hypothesis Testing: Evaluating population assumptions

5-Step Procedure for Hypothesis Testing

1. State H₀ & H₁
2. Set Significance Level (α)
3. Select Test Statistic
4. Obtain Critical Value
5. Make Conclusion

(Hypothesis testing relies on evaluating calculated values against critical distribution thresholds).

Parametric vs. Non-Parametric Hypothesis Tests

Category Key Features Common Statistical Tests Included
Parametric Tests Assumes samples are drawn from a normally distributed population. • z-test
• t-test
• Two independent sample test
• Two related sample test
• K-independent sample test
• ANOVA (F-test for >2 sample means)
Non-Parametric Tests Distribution-free tests; makes no explicit distributional assumptions. • One-sample Chi-Square (χ²) test
• Chi-Square test for 2 independent samples
• Two related sample test
• K-independent & K-related sample tests

4. Measures of Association & Advanced Techniques

4 Key Statistical Measures of Association

  • Correlation: Evaluates the directional relationship between dependent and independent variables.
  • Regression Analysis: Measures the precise degree of dependence/impact of independent variables on dependent variables.
  • Time Series Analysis: Examines variations across time intervals to identify trends.
  • Multivariate Analysis: Examines datasets involving simultaneous measurements across multiple variables.
💡 ANOVA Execution Steps: Construct Hypothesis → Conduct Statistical Test → Set Significance Level → Calculate F-Value → Check Critical Value → Formulate Interpretation.

5. Qualitative Data Analysis Methods

Qualitative Data Analysis: Data expressed subjectively or in language format rather than numbers (gathered via observation, interviews, or focus groups).

3 Core Steps in Qualitative Processing

1. Data Reduction
2. Data Presentation
3. Drawing Conclusions

(These foundational steps convert complex qualitative transcripts into systematic conclusions).

Comparison of 3 Major Qualitative Analysis Methods

Method Core Definition & Features Key Steps / Elements
1. Content Analysis Systematic, objective, and quantitative description of verbal or written data.
Features: Systematic, Objectivity, Generalizability.
1. Identify essential data
2. Develop tabulation bases
3. Classify variables & design categories
4. Establish material procedures
5. Prepare analysis outline
2. Narrative Analysis Recording and analyzing info based on stories told by respondents related to specific events.
Elements: Data collection, analysis, understanding key actors/events.
1. Obtain data
2. Focus on autobiography/interview data
3. Codify data using signs/symbols
4. Identify relationships among classes
3. Thematic Analysis Identifies, searches, and records recurring themes/patterns of data relevant to phenomena. 1. Review literature
2. Generate initial codes
3. Search for themes
4. Review & refine themes
5. Define/name themes
6. Prepare final report