3.6
118 個評分
29 個審閱

1

## Using Graphs to Describe Data

In our study of statistics, we learn many methods to help us summarize, analyze, and interpret data with the aim of making informed decisions in an uncertain environment. In this first week we introduce tables and graphs that help us get a handle of data. These tools provide visual support for better decision making. With this in mind, we will guide you through the concept of decisions based on incomplete information. Beginning from here, we will introduce you to the concept of population vs. sample, of parameter vs. statistic and of descriptive statistics vs. inferential statistics. We will then go through the concept of describing data, and we will introduce the idea of creating and interpreting graphs to describe categorical and continuous random variables. ...
9 個視頻 （總計 42 分鐘）, 3 個測驗
9 個視頻
Introduction - Using graphs to describe data3分鐘
1. Decision Making in an Uncertain Environment3分鐘
2. Population and Sample4分鐘
3. Parameters and Statistics3分鐘
4. Descriptive and Inferential Statistics11分鐘
5. Graphs to Describe Numerical Values7分鐘
6. Shape of a Distribution2分鐘
Summary2分鐘
2 個練習
Quiz: Categorical and Numerical Variables8分鐘
End of Week Quiz10分鐘
2

## Using Measures to Describe Data

This week we will describe and summarize the information in the data using numerical values or measures that are able to summarise information. This is a crucial extension to the analysis of the previous week. While graphs are informative it is usually crucial for improved understanding of the data at hand to discuss their numerical properties. In this week, we will look at a range of measures, such as measures of central tendency, the range, variance, standard deviation, and so on....
10 個視頻 （總計 55 分鐘）, 2 個測驗
10 個視頻
1. Descriptive Statistics- Using Measures to Describe Data3分鐘
2. Measures of Central Tendency and Location8分鐘
3. Mean, Median, and Mode- Which is Best?3分鐘
4. Shape of a Distribution5分鐘
5. Measures of Variability12分鐘
5.1 Measures of Variability: Examples9分鐘
6. Weighted Mean1分鐘
7. Measures of Relationships Between Variables4分鐘
Summary2分鐘
2 個練習
Summative Questions12分鐘
End of Week Quiz10分鐘
3

## Probability and Probability Distributions

Probability theory is a young arrival in mathematics- and probability applied to practice is almost non-existent as a discipline. We should all understand probability, and this lecture will help you to do that. It’s important for you to understand first that the world in which your future occurs is not deterministic- and there are future outcomes where a probability model cannot be developed… This week, we will cover the basic definition of probability, the rules of probability,random variables, -probability density functions, expectations of a random variable and Bivariate random variables. ...
18 個視頻 （總計 43 分鐘）, 2 個測驗
18 個視頻
1. Introduction1分鐘
2. Random Experiment2分鐘
3. Events4分鐘
4: Probability1分鐘
4.1: The Definition of Probability3分鐘
4.2: Probability Rules1分鐘
4.3: The Addition Rule of Probabilities2分鐘
4.4: Conditional Probability2分鐘
4.5: The Multiplication Rule of Probabilities49
5: Random Variables2分鐘
5.1: The Probability Distribution Function2分鐘
6: Properties of Discrete Random Variables1分鐘
6.1: The Variance of a Discrete Random Variable1分鐘
7. Continuous Random Variables3分鐘
8. The Probability Density Function1分鐘
9. The Expectations for Continuous Random Variables3分鐘
Probability and Probability Distributions - Summary2分鐘
2 個練習
Summative Questions10分鐘
End of Week Quiz10分鐘
4

## Statistical Estimation

For statistical analysis to work properly, it’s essential to have a proper sample, drawn from a population of items of interest that have measured characteristics. This week, we will cover statistical estimation, sampling distribution of the mean, point estimation, interval estimation, hypothesis testing, the Null hypothesis and look at some real life examples of their use. ...
22 個視頻 （總計 84 分鐘）, 4 個閱讀材料, 3 個測驗
22 個視頻
1. Statistical Estimation47
2. Estimator and Estimate1分鐘
2.1. Point Estimator and Point Estimate1分鐘
2.2. Unbiased2分鐘
2.3. Efficiency2分鐘
3. Confidence Interval Estimation4分鐘
3.1 Confidence Intervals, Part 112分鐘
3.1 Confidence Intervals, Part 24分鐘
4. Testing Hypothesis2分鐘
4.1. Formulation of the Null Hypothesis and the Alternative Hypothesis3分鐘
4.2. Test Statistic56
4.2.1. The Decision Rule2分鐘
4.2.2. Types of Errors1分鐘
4.2.3. Performing the Test and the Decision Rule3分鐘
4.2.3.1 Hypothesis Testing: Examples7分鐘
5. Regression Model5分鐘
Statistical Estimation - Summary3分鐘
1. Further on the Linear Regression Model3分鐘
2. Deriving the OLS b2分鐘
3.The Statistical Properties of the OLS b4分鐘
4. Gauss-Marcov Theorem Proof3分鐘
4 個閱讀材料
Practice exercise10分鐘
Solution to practice exercise10分鐘
Practice exercise10分鐘
Solutions to practice exercise10分鐘
2 個練習
End of Week8分鐘
End of Course Quiz56分鐘
3.6
29 個審閱

### 熱門審閱

Very challenging , kind of forgetting my college statistics

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