# Statistics In Engineering and Science

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Statistics In Engineering and Science

## 1. Sample

### 1.1. Representative group of the population

1.1.1. Sampling techniques

1.1.1.1. Convenience sample

1.1.1.1.1. Fast and cheap

1.1.1.1.2. Not necessarily representative

1.1.1.2. Judgmental sampling

1.1.1.2.1. Based on experience

1.1.1.2.2. Difficult to relate to population

1.1.1.3. Simple random sample

1.1.1.3.1. Sample of size n obtained from the population or process

1.1.1.3.2. Stringent requirements

1.1.1.3.3. Allows replacement

1.1.1.4. Systematic random samples

1.1.1.4.1. Sampling the kth unit

1.1.1.5. Stratified random samples

1.1.1.5.1. Subdivide heterogeneous population in groups

1.1.1.6. Cluster sampling

1.1.1.6.1. Subdivide population in clusters

## 3. Distribution

### 3.2. Example

3.2.1. Normal distribution

3.2.1.1. Parameters

## 8. Population

### 8.1. All possible items with common characteristics under

8.1.1. Experimental conditions

8.1.2. Observational conditions

8.1.3. Statistical analysis

8.1.3.1. Infer relationships between

8.1.3.1.1. Design factor

## 9. Statistic

### 9.1. Problem solving with variability

9.1.1. Studies

9.1.1.1. Experimental

9.1.1.1.1. Control variables

9.1.1.2. Observational

## 10. Statistics in experimentation

### 10.1. Identify and measure

10.1.1. Sources of variation

10.1.1.1. Draw valid inferences

### 10.2. Statistical design and analysis

10.2.1. Project planning

10.2.1.1. Include statistical considerations

10.2.2. Experimental design

10.2.2.1. Control variation from known sources

10.2.2.1.1. Uncontrollable variation

## 12. Variable

### 12.1. Characteristic on which information is retrieved

12.1.1. Types

12.1.1.1. Response

12.1.1.2. Factors

12.1.1.2.1. Can affect response variables

12.1.1.2.2. Controllable

## 14. Random

### 14.1. Statistical

14.1.1. Approximate physical systems

14.1.2. Derived from data

### 14.2. Mathematical

14.2.1. Represent relationships among variables

14.2.2. Derived from theory

14.2.3. Don't take errors into account