1. Introduction 2. Concept of Analysis of Variance (ANOVA) 3. Linear Model in ANOVA 4. Types of ANOVA 4.1 One-Way ANOVA 4.2 Two-Way ANOVA 5. Observations per Cell 6. Fixed Effect Model 7. Key Takeaways
1. Types of Sampling Sampling methods are broadly classified into Probability Sampling and Non-Probability Sampling. 1.1 Probability Sampling a) Simple Random Sampling (SRS) b) Stratified Random Sampling c) Systematic Sampling d) Cluster Sampling e) Multistage Sampling f) Probability Proportional to Size (PPS) Sampling 1.2 Non-Probability Sampling 2. Estimation of Population Total 3. Sampling Distributions 4….
1. Concept of Population and Sample 2. Need for Sampling 3. Census vs Sample Survey Aspect Census Sample Survey Population covered Entire Subset Cost High Low Time Longer Shorter Accuracy Very high Reasonably high Usage Small populations Large populations 4. Basic Concept of Sampling 5. Organizational Aspect of Sample Survey 6. Questionnaire Design 7. Sample…
1. Definition of Probability Probability measures the likelihood of occurrence of an event. 2. Basic Laws of Probability 2.1 Addition Law P(A∪B)=P(A)+P(B)−P(A∩B)P(A \cup B) = P(A) + P(B) – P(A \cap B) P(A∪B)=P(A)+P(B)P(A \cup B) = P(A) + P(B) 2.2 Multiplication Law P(A∩B)=P(A)⋅P(B)P(A \cap B) = P(A) \cdot P(B) P(A∩B)=P(A)⋅P(B∣A)P(A \cap B) = P(A) \cdot…
1. Correlation Definition Correlation measures the strength and direction of the linear relationship between two quantitative variables. 1.1 Scatter Diagram 1.2 Karl Pearson’s Correlation Coefficient (rr) r=n∑XY−(∑X)(∑Y)[n∑X2−(∑X)2][n∑Y2−(∑Y)2]r = \frac{n \sum XY – (\sum X)(\sum Y)}{\sqrt{[n\sum X^2 – (\sum X)^2][n\sum Y^2 – (\sum Y)^2]}} Properties Interpretation r value Strength 0.0–0.3 Weak 0.3–0.7 Moderate 0.7–1.0 Strong 2….
1. Meaning of Descriptive Statistics 2. Measures of Central Tendency Central tendency represents the typical value of a dataset. Common measures include: a. Arithmetic Mean (Average) Mean (xˉ)=∑xin\text{Mean } (\bar{x}) = \frac{\sum x_i}{n} b. Median c. Mode d. Partition Values 3. Measures of Dispersion Dispersion measures the spread or variability of data. a. Range Range=Maximum…