Section 1: Describing Data: Graphically & Numerically |
|
Constructing & Interpreting Graphs |
37:14 |
| |
Intro |
0:00 | |
| |
Objectives |
0:08 | |
| |
Categorical Data |
0:26 | |
| |
| Pie Charts |
0:27 | |
| |
| Bar Graphs |
1:20 | |
| |
(More) Bar Graphs |
2:25 | |
| |
| Comparative |
2:26 | |
| |
| Relative Frequency |
3:30 | |
| |
Numerical Data: Discrete |
4:35 | |
| |
| Dot Plots |
4:36 | |
| |
| Stem and Leaf Plots |
6:08 | |
| |
Example: Stem Plot |
7:55 | |
| |
| Example: Stem Plot |
7:56 | |
| |
Numerical Data: Continuous |
9:03 | |
| |
| Numerical Data (Continuous) |
9:04 | |
| |
Example I: Histogram |
10:57 | |
| |
Numerical Data: Cumulative Frequency Plots |
16:49 | |
| |
| Frequency Polygon |
16:50 | |
| |
| Ogive Plot |
18:00 | |
| |
Describe the Distribution |
19:42 | |
| |
| SOCS: Shape, Outlier, Center, Spread |
19:43 | |
| |
Shape |
20:28 | |
| |
| Unimodal, Bimodal, or Multimodal |
20:29 | |
| |
| Symmetric Distribution |
21:48 | |
| |
| Positively Skewed Distribution |
21:30 | |
| |
| Negatively Skewed Distribution |
21:46 | |
| |
Example II: Describe the Distribution |
22:06 | |
| |
Stem Plots to Compare Two Groups of Data |
23:06 | |
| |
| Stem Plots to Compare Two Groups of Data |
23:06 | |
| |
Example III: Compare the Distribution |
23:47 | |
| |
Example IV: Describe the Distribution of Quiz Scores |
27:45 | |
| |
Example V: Stem Plot |
29:26 | |
| |
Example VI: Bar Graph & Relative Frequency |
30:53 | |
|
Summarizing Distributions of Univariate Data |
1:07:37 |
| |
Intro |
0:00 | |
| |
Objectives |
0:10 | |
| |
Measuring Center |
0:42 | |
| |
| Median |
0:43 | |
| |
| Mean |
0:56 | |
| |
Example: Find the Median and Mean |
1:59 | |
| |
Measuring Position |
6:59 | |
| |
| Percentiles |
7:10 | |
| |
| Quartiles |
7:39 | |
| |
Example: Find the Quartiles |
8:58 | |
| |
Measuring Spread |
11:13 | |
| |
| Range |
11:14 | |
| |
| IQR |
11:33 | |
| |
| Variance |
11:55 | |
| |
| Example: Measuring Spread |
13:21 | |
| |
Example: Find the Measures of Spread |
22:09 | |
| |
Outliers |
27:23 | |
| |
| Outliers |
27:24 | |
| |
Example: Outliers |
29:05 | |
| |
Boxplots |
31:44 | |
| |
| 5-number Summary |
31:45 | |
| |
Example I: Boxplot |
33:55 | |
| |
Describe the Distribution |
44:20 | |
| |
| SOCS: Shape, Outlier, Center, Spread |
44:21 | |
| |
| Choosing Your Measure of Center & Spread |
45:16 | |
| |
Example II: Describe the Distribution |
46:08 | |
| |
The Effect of Changing Units on Summary Measures |
48:26 | |
| |
| Linear Transformations |
48:27 | |
| |
| Example: Distribution of Ages |
50:42 | |
| |
Example III: Modified Boxplot & Describe the Distribution |
53:26 | |
| |
Example IV: Describe the Distribution |
62:37 | |
Section 2: Correlation & Regression |
|
Correlation & Regression |
50:16 |
| |
Intro |
0:00 | |
| |
Objectives |
0:07 | |
| |
Scatterplots |
0:30 | |
| |
| Scatterplots |
0:31 | |
| |
Interpreting Scatterplots |
2:20 | |
| |
| Direction |
2:34 | |
| |
| Form |
2:50 | |
| |
| Strength |
3:29 | |
| |
Example: Describe the Direction, Form, and Strength of the Scatterplot |
4:00 | |
| |
Correlation Coefficient ( r ) |
5:22 | |
| |
| Correlation Coefficient ( r ) |
5:23 | |
| |
Example: Correlation Coefficient ( r ) |
7:52 | |
| |
| Approximate the Correlation Coefficient |
7:53 | |
| |
| Interpret the Correlation Coefficient |
8:48 | |
| |
Least Squares Regression Line (LSRL) |
9:23 | |
| |
| Least Squares Regression Line (LSRL) |
9:24 | |
| |
Interpreting the LSRL |
10:45 | |
| |
| y-intercept, Slope, Mean, and SD |
10:46 | |
| |
Example: Interpreting the LSRL |
14:48 | |
| |
| Step 1: Determine the Least-squares Regression Line |
14:49 | |
| |
| Step 2: Interpret the Slope and y-intercept of the Regression Line |
18:28 | |
| |
| Step 3: Interpret the Correlation |
20:56 | |
| |
Coefficient of Determination |
23:50 | |
| |
| R² = (r)² |
23:51 | |
| |
Residuals |
26:04 | |
| |
| Residual = Observed y - Predicted y |
26:05 | |
| |
| Residual Plot |
27:04 | |
| |
Example: Calculate the Residual |
28:33 | |
| |
Example: Draw the Residual Plot |
31:18 | |
| |
Example I: Explanatory Variable & Response Variable |
37:47 | |
| |
Example II: Find the Least-squares Regression Line |
39:08 | |
| |
Example III: Calculate the Residual |
44:10 | |
| |
Example IV: Predicted Value |
47:50 | |
| |
Example V: Residual Value |
49:28 | |
|
Regression, Part II |
23:26 |
| |
Intro |
0:00 | |
| |
Objectives |
0:10 | |
| |
Outliers and Influential Points |
0:20 | |
| |
| An OUTLIER |
0:21 | |
| |
| Influential Observations |
1:05 | |
| |
Transformations to Achieve Linearity |
2:39 | |
| |
| Transformations to Achieve Linearity: When We Need It |
2:40 | |
| |
| Transformations to Achieve Linearity: How We Use It |
4:41 | |
| |
Example I: Expected Number of Sales |
7:11 | |
| |
Confounding |
11:13 | |
| |
| Confounding |
11:14 | |
| |
Correlation Does NOT Prove Causation |
11:55 | |
| |
| Correlation Does NOT Prove Causation |
11:56 | |
| |
Lurking Variables |
13:06 | |
| |
| Lurking Variables & Common Response |
13:07 | |
| |
Confounding |
14:25 | |
| |
| Confounding |
14:26 | |
| |
| Example: Promotion to Increase Movie Sales |
15:11 | |
| |
Example II: Causation, Confounding, or Common Response |
16:26 | |
| |
Example III: Correlation |
18:25 | |
| |
Example IV: Confounding & Common Response |
19:50 | |
Section 3: Surveys & Experiments |
|
Planning & Conducting Surveys |
29:35 |
| |
Intro |
0:00 | |
| |
Objectives |
0:09 | |
| |
Census vs. Survey, Parameter vs. Statistics |
0:28 | |
| |
| Census vs. Survey, Parameter vs. Statistics |
0:29 | |
| |
Characteristics of a Well-Designed and Well-Conducted Survey |
2:15 | |
| |
| Representative Sample |
2:16 | |
| |
| Random Sample |
3:38 | |
| |
| Does Not Introduce Bias |
4:02 | |
| |
Bias |
4:16 | |
| |
| What Is It? |
4:17 | |
| |
| How Might It Occur? |
5:26 | |
| |
Example I: Identify the Type of Bias |
7:03 | |
| |
Random Sampling |
10:25 | |
| |
| Simple Random Sample (SRS) |
10:26 | |
| |
Example II: Random Sampling |
13:26 | |
| |
Random Sampling, Cont. |
16:44 | |
| |
| Stratified Random Sampling |
16:55 | |
| |
| Cluster Sample |
18:06 | |
| |
| Systematic Random Sample |
19:16 | |
| |
Example III: Random Sampling |
20:52 | |
| |
Non-Random Sampling |
22:28 | |
| |
| Convenience Sample |
22:29 | |
| |
| Voluntary Response Sample |
22:54 | |
| |
Example IV: Sampling Design |
25:01 | |
| |
| Specify The Population |
25:02 | |
| |
| Describe The Sampling Design. Will You Use a Stratified Sample? |
26:46 | |
|
Planning & Conducting Experiments |
41:31 |
| |
Intro |
0:00 | |
| |
Objectives |
0:09 | |
| |
Experiments vs. Observational Studies |
0:44 | |
| |
| Observational Study |
0:45 | |
| |
| Experiment |
1:28 | |
| |
Example I: Experimental or Observational? |
2:09 | |
| |
Example II: Experimental or Observational? |
2:57 | |
| |
Placebo Effect |
3:51 | |
| |
| Placebo Effect |
3:52 | |
| |
Characteristics of a Well-designed and Well-conducted Experiment |
4:42 | |
| |
| Control |
4:43 | |
| |
| Replicate |
5:32 | |
| |
| Randomize |
6:32 | |
| |
Example III: Control Groups |
7:33 | |
| |
Completely Randomized Design |
9:01 | |
| |
| Completely Randomized Design |
9:02 | |
| |
Outline/Map of Completely Randomized Design |
9:55 | |
| |
| Outline/Map of Completely Randomized Design |
9:56 | |
| |
Example IV: Completely Randomized Design |
11:35 | |
| |
Block Randomization |
14:23 | |
| |
| Block Randomization |
14:24 | |
| |
Randomized Block Design |
15:29 | |
| |
| Randomized Block Design |
15:30 | |
| |
Example V: Randomized Block Design |
18:06 | |
| |
Matched Pairs Design |
21:08 | |
| |
| Matched Pairs Design |
21:09 | |
| |
Example V: Types of Experiments |
22:42 | |
| |
Example VI: Types of Experiments |
24:17 | |
| |
Example VII: Types of Experiments |
26:24 | |
| |
Experimental Set Up |
28:28 | |
| |
| Treatment |
28:29 | |
| |
| Experimental Units |
29:13 | |
| |
| Response |
29:32 | |
| |
Double-blind Experiment |
31:06 | |
| |
| Double-blind Experiment |
31:07 | |
| |
Example VIII: Double-blind Experiment |
32:37 | |
| |
Example IX: Design a Study to Test Hypothesis |
37:04 | |
| |
Generalizability of Results |
40:39 | |
| |
| Statistically Significant Data |
40:40 | |
Section 4: Probability & Expected Value |
|
Probability Overview |
1:22:17 |
| |
Intro |
0:00 | |
| |
Objectives |
0:21 | |
| |
Interpreting Probability |
0:46 | |
| |
| Probability of a Random Outcome or the Long Term Relative Frequency |
0:47 | |
| |
Law of Large Numbers |
1:42 | |
| |
| Expected Value |
1:43 | |
| |
Example I: Probability in Poker |
2:21 | |
| |
Probability Model |
4:31 | |
| |
| Sample Space (S) |
4:32 | |
| |
| Event |
5:15 | |
| |
| Probabilities |
6:03 | |
| |
Example II: Basketball Free Throws |
6:37 | |
| |
| Part 1: Sample Space |
6:46 | |
| |
| Part 2: Event |
8:08 | |
| |
| Part 3: Probability |
8:48 | |
| |
Disjoin Events (aka Mutually Exclusive) |
11:00 | |
| |
| Disjoin Events (aka Mutually Exclusive) |
11:01 | |
| |
Example III: Advertising Contracts |
12:23 | |
| |
| Part A: Venn Diagram |
12:24 | |
| |
Probability of Disjoin Events |
14:03 | |
| |
| Probability of Disjoin Events |
14:04 | |
| |
Example IV: Probability of Disjoin Events |
15:58 | |
| |
Independence vs. Dependence |
18:11 | |
| |
| Independence vs. Dependence |
18:12 | |
| |
Example V: Independence vs. Dependence |
20:26 | |
| |
Example VI: Independence vs. Dependence |
22:23 | |
| |
Probability Rules |
23:13 | |
| |
| Probability Rules |
23:14 | |
| |
Probability Notation |
23:31 | |
| |
| P (A or B) |
23:32 | |
| |
| P (A and B) |
23:58 | |
| |
| P ( A given B happened) |
24:24 | |
| |
| P ( not A) |
24:44 | |
| |
Example VII: Probability Notation |
25:17 | |
| |
Probability Rule Notation |
26:49 | |
| |
| A or B |
26:50 | |
| |
| A and B |
27:40 | |
| |
Example VIII: Determine if These Two Events are Independent |
29:05 | |
| |
Example IX: Conditional Probability of Wining |
31:39 | |
| |
Example X: Conditional Probability of Students |
36:46 | |
| |
| Part A: Probability |
36:47 | |
| |
| Part B: Conditional Probability |
38:18 | |
| |
| Part C: Conditional Probability |
39:59 | |
| |
Example XI: Conditional Probability of Children |
42:53 | |
| |
| Part A: All Boys |
42:54 | |
| |
| Part B: All Girls |
44:44 | |
| |
| Part C: Exactly Two Boys or Exactly Two Girls |
45:50 | |
| |
| Part D: At Least One Child of Each Sex |
50:18 | |
| |
Overview |
52:52 | |
| |
| Complement |
52:53 | |
| |
| Mutually Exclusive |
53:30 | |
| |
| Intersection |
53:49 | |
| |
| Union |
54:44 | |
| |
| Independent |
55:34 | |
| |
Bayes Rule |
56:02 | |
| |
| Bayes Rule |
56:03 | |
| |
Example XI: Probability & Bayes Rule |
59:43 | |
| |
Example XII: Probability & Bayes Rule |
67:49 | |
| |
Simulations |
65:46 | |
| |
| Simulations |
65:47 | |
| |
Example XIII: Simulations |
67:10 | |
|
Intro to Probability for Discrete Random Variables |
31:37 |
| |
Intro |
0:00 | |
| |
Objectives |
0:09 | |
| |
Discrete vs. Continuous Random Variables |
0:29 | |
| |
| Discrete Random Variables |
0:30 | |
| |
| Continuous Random Variables |
1:12 | |
| |
Probability Distribution |
3:36 | |
| |
| Probability Distribution for a Discrete Random Variables |
3:37 | |
| |
| Probability Rules |
4:20 | |
| |
Example I: Find the Probability |
4:51 | |
| |
Example II: Construct a Probability Distribution |
6:15 | |
| |
Mean |
9:35 | |
| |
| Expected Value |
9:36 | |
| |
| Example: Expected Number of Customers |
10:08 | |
| |
Variance |
13:19 | |
| |
| Variance |
13:20 | |
| |
| Example: Variance |
14:34 | |
| |
Example III: Probability Analysis |
18:01 | |
| |
Example IV: Expected Profit |
25:25 | |
|
Discrete Random Variables |
39:06 |
| |
Intro |
0:00 | |
| |
Objectives |
0:08 | |
| |
Binomial Distribution |
0:14 | |
| |
| BINP |
0:15 | |
| |
| B |
0:34 | |
| |
| I |
0:49 | |
| |
| N |
1:00 | |
| |
| P |
1:20 | |
| |
Example I: Binomial Distribution |
1:43 | |
| |
| Question 1: Is a Binomial Distribution a Reasonable Probability Model for the Random Variable X? |
1:44 | |
| |
| Question 2: Is a Binomial Distribution a Reasonable Probability Model for the Random Variable X? |
3:43 | |
| |
Binomial Probability |
5:11 | |
| |
| Binompdf (n, p, x) |
5:12 | |
| |
Example II: Determine the Probability |
10:37 | |
| |
| Part A: Determine the Probability that Exactly One of the Toasters is Defective |
10:38 | |
| |
| Part B: Determine the Probability that At Most Two of the Toasters are Defective |
16:40 | |
| |
| Part C: Determine the Probability that More Than Three of the Toasters are Defective |
21:42 | |
| |
Geometric Distribution |
24:11 | |
| |
| Geometric Distribution |
24:12 | |
| |
Example III: Geometric Distribution & Probability |
25:14 | |
| |
| Part A: Geometric Distribution |
25:15 | |
| |
Geometric Probability |
26:55 | |
| |
| Geometpdf (p, x) |
26:56 | |
| |
Example III: Geometric Distribution & Probability |
27:50 | |
| |
| Part B: Geometric Probability of Exactly Four Patients |
27:51 | |
| |
| Part C: Geometric Probability of At Most Five Patients |
31:19 | |
| |
Mean and SDs |
33:47 | |
| |
| Binomial |
33:48 | |
| |
| Geometric |
34:28 | |
| |
Example IV: Defective Units |
34:53 | |
| |
Example V: Number of Patients |
35:58 | |
|
Combining Independent Random Variables |
18:56 |
| |
Intro |
0:00 | |
| |
Objectives |
0:09 | |
| |
Mean and Standard Deviation of Two Random Variables |
0:26 | |
| |
| Mean and Standard Deviation of Two Random Variables |
0:27 | |
| |
Example I: Average and Standard Deviation |
1:58 | |
| |
Example II: Average and Standard Deviation |
4:37 | |
| |
Transforming Random Variables: Linear Transformations |
6:10 | |
| |
| Transforming Random Variables: Linear Transformations |
6:11 | |
| |
Example III: Mean and Standard Deviation |
7:02 | |
| |
Example IV: Mean and Standard Deviation |
10:23 | |
| |
Example V: Mean and Standard Deviation |
14:14 | |
| |
| Part 1: Mean & SD |
14:15 | |
| |
| Part 2: Mean & SD |
16:30 | |
|
Normal Random Variables |
59:34 |
| |
Intro |
0:00 | |
| |
Objectives |
0:08 | |
| |
The Empirical Rule |
0:28 | |
| |
| 68% |
0:29 | |
| |
| 95% |
1:43 | |
| |
| 99.70% |
2:00 | |
| |
The Empirical Rule, Cont. |
2:31 | |
| |
| The Empirical Rule, Cont. |
2:32 | |
| |
Example I: The Empirical Rule |
3:24 | |
| |
Z-Score |
8:17 | |
| |
| Z-Score |
8:18 | |
| |
Example II: Z-Score |
10:08 | |
| |
Using the Normal Table |
13:03 | |
| |
| Using the Normal Table |
13:04 | |
| |
| Using the Normal Table, Cont. |
15:05 | |
| |
Example III: Using the Normal Table and Z-score to Calculate Probability |
16:01 | |
| |
| Step 1: Sketch |
16:02 | |
| |
| Step 2: Calculate Z-score |
18:16 | |
| |
| Step 3: Solve for Probability Using the Normal Table |
19:14 | |
| |
Example IV: Using the Normal Table and Z-score to Calculate Probability |
20:29 | |
| |
| Step 1: Sketch |
20:30 | |
| |
| Step 2: Calculate Z-score |
21:52 | |
| |
| Step 3: Solve for Probability Using the Normal Table |
22:36 | |
| |
Example V: Using the Normal Table and Z-score to Calculate Probability |
27:20 | |
| |
| Step 1: Sketch |
27:42 | |
| |
| Step 2: Calculate Z-score |
28:14 | |
| |
| Step 3: Solve for Probability Using the Normal Table |
29:45 | |
| |
Example VI: Using the Normal Table and Z-score to Calculate Probability |
34:00 | |
| |
| Step 1: Sketch |
34:01 | |
| |
| Step 2: Calculate Z-score |
35:48 | |
| |
| Step 3: Solve for Probability Using the Normal Table |
36:56 | |
| |
Example VII: Using the Normal Table and Z-score to Calculate Probability |
41:21 | |
| |
| Step 1: Sketch |
41:22 | |
| |
| Step 2: Calculate Z-score |
44:15 | |
| |
| Step 3: Solve for Probability Using the Normal Table |
47:26 | |
| |
Example VIII: Calculate the Standard Deviation of the Random Normal Variable |
49:54 | |
| |
| Step 1: Sketch |
49:55 | |
| |
| Step 2: Calculate Z-score |
51:16 | |
| |
| Step 3: Solve for Standard Deviation |
53:16 | |
| |
Example VIII: Calculate the Mean of the Distribution |
55:11 | |
| |
| Step 1: Sketch |
55:12 | |
| |
| Step 2: Calculate Z-score |
56:36 | |
| |
| Step 3: Solve for Mean |
57:42 | |
Section 6: Distribution of Data |
|
Sampling Distributions |
38:27 |
| |
Intro |
0:00 | |
| |
Objectives |
0:07 | |
| |
Parameter vs. Statistics |
0:25 | |
| |
| Parameter vs. Statistics |
0:26 | |
| |
Sampling Distribution |
2:03 | |
| |
| Sampling Distribution |
2:04 | |
| |
Central Limit Theorem |
3:15 | |
| |
| Central Limit Theorem |
3:16 | |
| |
| Central Limit Theorem, Cont. |
7:23 | |
| |
Example I: Sampling Distribution Graph |
9:20 | |
| |
Conditions (RIN) |
11:12 | |
| |
| Random |
11:13 | |
| |
| Independent |
12:04 | |
| |
| Normal |
13:40 | |
| |
Sampling Distribution of a Sample Mean |
15:19 | |
| |
| Sampling Distribution of a Sample Mean |
15:20 | |
| |
Example II: Calculate the Mean and SD of a Sampling Distribution |
17:17 | |
| |
Sampling Distribution of a Sample Proportion |
21:07 | |
| |
| Sampling Distribution of a Sample Proportion |
21:08 | |
| |
Example III: Mean, SD, Sample Size, and Probability of a Sampling Distribution |
22:29 | |
| |
| Part A: Calculate the Mean and SD of a Sampling Distribution |
22:30 | |
| |
| Part B: Sample Size |
26:18 | |
| |
| Part C: Probability |
29:30 | |
| |
Example IV: Probability of a Sampling Distribution |
33:40 | |
| |
| Part A: Probability of a Random Selection |
33:41 | |
| |
| Part B: Probability of the Mean |
35:46 | |
Section 7: Statistical Inference |
|
Confidence Intervals |
56:37 |
| |
Intro |
0:00 | |
| |
Lesson Overview |
0:07 | |
| |
Why Calculate a Confidence Interval? |
0:28 | |
| |
| Using a Statistic to Estimate a Parameter |
0:29 | |
| |
What is a Confidence Interval? |
1:24 | |
| |
| Confidence Interval |
1:25 | |
| |
General math Behind a Confidence Interval |
2:51 | |
| |
| Point Estimate |
2:52 | |
| |
| Critical Value |
4:34 | |
| |
Z-Table |
6:06 | |
| |
| Z-Table |
6:07 | |
| |
T-Table |
7:07 | |
| |
| T-Table |
7:08 | |
| |
General math Behind a Confidence Interval |
7:50 | |
| |
| Point Estimate |
7:51 | |
| |
| Critical Value: Mean & Proportion |
8:00 | |
| |
| Standard Error: Mean & Proportion |
8:15 | |
| |
| Calculating Using Your Calculator |
10:46 | |
| |
Steps to Calculating a Confidence Interval |
12:09 | |
| |
| Step 1: Read |
12:10 | |
| |
| Step 2: Check Your Conditions |
12:58 | |
| |
| Step 3: Calculate |
15:33 | |
| |
| Step 4: Interpret |
16:12 | |
| |
Example I: Confidence Interval |
16:29 | |
| |
Example II: Confidence Interval |
29:57 | |
| |
Example III: Confidence Interval |
42:31 | |
|
Hypothesis Testing |
1:12:16 |
| |
Intro |
0:00 | |
| |
Lesson Overview |
0:07 | |
| |
Why do a Hypothesis Test? |
0:29 | |
| |
| Using a Statistic to Test a Claim about a Parameter |
0:30 | |
| |
Steps for Calculating a Hypothesis Test |
1:13 | |
| |
| 1. Write the Hypothesis |
1:14 | |
| |
| 2. Check Conditions |
1:30 | |
| |
| 3. Calculate the Test Statistic |
1:34 | |
| |
| 4. Look Up the P-value & Interpret |
1:49 | |
| |
| 5. Interpret |
1:50 | |
| |
Example I: Hypothesis Testing Step by Step |
2:57 | |
| |
| 1. Write the Hypothesis |
5:04 | |
| |
| 2. Check Conditions |
8:43 | |
| |
| 3. Calculate the Test Statistic |
21:54 | |
| |
| 4. Look Up the P-value |
20:07 | |
| |
| 5. Interpret |
23:45 | |
| |
Example II: Hypothesis Testing Step by Step |
28:49 | |
| |
| 1. Write the Hypothesis |
28:50 | |
| |
| 2. Check Conditions |
32:00 | |
| |
| 3. Calculate the Test Statistic |
34:20 | |
| |
| 4. Look Up the P-value |
38:26 | |
| |
| 5. Interpret |
40:49 | |
| |
Example III: Hypothesis Test for a Mean |
44:53 | |
| |
Example IV: Hypothesis Test for a Proportion |
57:26 | |
|
The T Distribution |
41:40 |
| |
Intro |
0:00 | |
| |
Lesson Overview |
0:07 | |
| |
When Do We Use the T Distribution |
0:26 | |
| |
| When Do We Use the T Distribution |
0:27 | |
| |
What is the T Distribution? |
1:46 | |
| |
| What is the T Distribution? |
1:47 | |
| |
Confidence Interval Example |
2:49 | |
| |
| Construct and Interpret a 90% Confidence Interval to Estimate the Mean |
2:50 | |
| |
Hypothesis Test Example |
16:59 | |
| |
| 1. Write the Hypothesis |
17:00 | |
| |
| 2. Check Conditions |
20:01 | |
| |
| 3. Calculate the Test Statistic |
21:24 | |
| |
| 4. Look Up the P-value |
24:39 | |
| |
| 5. Interpret |
27:23 | |
| |
Matched Pairs T-test |
29:34 | |
| |
| Matched Pairs T-test |
29:35 | |
| |
| 1. Write the Hypothesis |
33:05 | |
| |
| 2. Check Conditions |
34:58 | |
| |
| 3. Calculate the Test Statistic |
35:52 | |
| |
| 4. Look Up the P-value |
38:12 | |
| |
| 5. Interpret |
39:28 | |
|
Two Samples |
1:27:23 |
| |
Intro |
0:00 | |
| |
Lesson Overview |
0:09 | |
| |
What Will a 2 Sample Problem Look Like? |
0:40 | |
| |
| Example 1 |
0:41 | |
| |
| Example 2 |
2:01 | |
| |
Writing Your Hypothesis |
3:36 | |
| |
| Writing Your Hypothesis |
3:37 | |
| |
Hypothesis Test Example I |
7:02 | |
| |
| 1. Write the Hypothesis |
7:03 | |
| |
| 2. Check Conditions |
10:04 | |
| |
| 3. Calculate the Test Statistic |
13:21 | |
| |
| 4. Look Up the P-value |
20:54 | |
| |
| 5. Interpret |
22:48 | |
| |
Hypothesis Test Example II |
24:50 | |
| |
| 1. Write the Hypothesis |
24:51 | |
| |
| 2. Check Conditions |
28:34 | |
| |
| 3. Calculate the Test Statistic |
29:46 | |
| |
| 4. Look Up the P-value |
36:27 | |
| |
| 5. Interpret |
39:01 | |
| |
Example I: Two Samples Hypothesis Testing |
42:11 | |
| |
Example II: Two Samples Hypothesis Testing |
53:30 | |
| |
Pick Your Test Map |
70:47 | |
| |
| Pick Your Test Map |
70:48 | |
| |
Example III: Reliability Testing |
78:31 | |
|
Hypothesis Testing of Least-Squares Regression Line |
53:49 |
| |
Intro |
0:00 | |
| |
Lesson Overview |
0:10 | |
| |
Review of Least-squares Regression and Interpretation |
0:29 | |
| |
| Correlation Coefficient ( r ) |
0:30 | |
| |
| Equation of the Least-squares Regression Line |
1:02 | |
| |
Example |
2:45 | |
| |
| Part A: Least-squares Regression Line |
2:46 | |
| |
| Part B: Slope of the Least-squares Regression Line |
6:03 | |
| |
Test for the Regression Line |
7:50 | |
| |
| Is There a Correlation? |
7:51 | |
| |
| Is the y-intercept = 0? |
9:56 | |
| |
Conditions for Hypothesis Testing |
10:49 | |
| |
| Linearity |
11:27 | |
| |
| Constant Variability |
12:35 | |
| |
| Normality |
13:40 | |
| |
| Independence |
15:16 | |
| |
Hypothesis Testing |
16:10 | |
| |
| Standard Deviation of the Residuals |
16:11 | |
| |
| Standard Error of Slope |
17:30 | |
| |
| Test Statistic |
18:45 | |
| |
| Confidence Interval |
19:36 | |
| |
Example: Hypothesis Testing |
20:45 | |
| |
| Part A: Test the Hypothesis |
20:46 | |
| |
| Part B: 95% Confidence Interval of the Slope |
32:51 | |
| |
Interpreting Computer Output |
35:40 | |
| |
| Interpreting Computer Output |
35:41 | |
| |
Example I: Interpreting Computer Output |
38:46 | |
| |
| Part A: Least-squares Regression Equation |
38:47 | |
| |
| Part B: Standard Error |
40:01 | |
| |
| Part C: Slope of the Least-squares Regression Line |
41:21 | |
| |
| Part D: Null and Alternative Hypotheses |
42:08 | |
| |
| Part E: Value of Test Statistic |
43:09 | |
| |
| Part G: P-Value |
44:03 | |
| |
| Part H: Is Income Useful for Predicting the Cost of a Persons Car? |
45:46 | |
| |
| Part I: Estimated Cost |
46:57 | |
| |
Example II: Interpreting Computer Output |
47:48 | |
|
Hypothesis Tests for Categorical Data (Chi-Squared Tests) |
1:12:55 |
| |
Intro |
0:00 | |
| |
Lesson Overview |
0:11 | |
| |
How Do We Know to Use a Chi-Squared Test? |
0:27 | |
| |
| Categorical Data |
0:28 | |
| |
Chi-Squared Goodness of Fit Test |
1:50 | |
| |
| One Categorical Variable with Counts in Each Category |
1:51 | |
| |
| What We Have Seen |
2:17 | |
| |
| New Question Type |
2:56 | |
| |
Example I: Chi-Squared Goodness of Fit Test |
4:02 | |
| |
| Chi-Squared Goodness of Fit Steps Overview |
4:03 | |
| |
| Step 1: Hypothesis |
5:54 | |
| |
| Step 2: Expected |
7:42 | |
| |
| Step 3: Conditions |
10:34 | |
| |
| Step 4: Calculate |
11:44 | |
| |
| Step 5: P-Value & Chi-Square Distribution Table |
17:03 | |
| |
Example II: Chi-Squared Goodness of Fit Test |
22:04 | |
| |
| Step 1: Hypothesis |
22:05 | |
| |
| Step 2: Expected |
24:55 | |
| |
| Step 3: Calculate |
29:05 | |
| |
| Step 4: P-Value & Chi-Square Distribution Table |
33:18 | |
| |
Chi-Squared Test of: Homogeneity or Independence/Association |
34:31 | |
| |
| Homogeneity |
34:32 | |
| |
| Independence/Association |
35:42 | |
| |
Example III: Chi-Squared Test of: Homogeneity or Independence/Association |
37:55 | |
| |
| Step 1: Hypothesis |
37:56 | |
| |
| Step 2: Expected |
40:28 | |
| |
| Step 3: Conditions |
46:48 | |
| |
| Step 4: Calculate |
47:49 | |
| |
| Step 5: P-Value & Chi-Square Distribution Table |
49:30 | |
| |
As a Test of Association |
52:53 | |
| |
| As a Test of Association |
52:54 | |
| |
Example IV: Chi-Squared Test of: Homogeneity or Independence/Association |
55:05 | |
| |
| Step 1: Hypothesis, Expected, and Conditions |
55:06 | |
| |
| Step 2: Calculate |
59:45 | |
| |
| Step3: P-Value & Chi-Square Distribution Table |
61:51 | |
| |
Example V: Chi-Squared Test of: Homogeneity or Independence/Association |
62:48 | |
| |
| Step 1: Hypothesis |
62:49 | |
| |
| Step 2: Expected and Conditions |
65:12 | |
| |
| Step 3: Calculate |
66:36 | |
| |
| Step 4: P-Value & Chi-Square Distribution Table |
70:50 | |
Section 8: AP Practice Test |
|
Practice Test 2013 AP Statistics |
1:02:57 |
| |
Intro |
0:00 | |
| |
Question 1 |
0:23 | |
| |
| Question 1: Part A |
0:24 | |
| |
| Question 1: Part B |
2:10 | |
| |
Question 2 |
6:16 | |
| |
| Question 2: Part A |
6:17 | |
| |
| Question 2: Part B |
10:22 | |
| |
| Question 2: Part C |
12:09 | |
| |
Question 3 |
14:30 | |
| |
| Question 3: Part A |
14:31 | |
| |
| Question 3: Part B |
18:19 | |
| |
Question 4 |
24:49 | |
| |
| Question 4: Part A |
24:50 | |
| |
Question 5 |
37:27 | |
| |
| Question 5: Part A |
37:28 | |
| |
| Question 5: Part B |
42:32 | |
| |
Question 6 |
51:15 | |
| |
| Question 6: Part A |
51:16 | |
| |
| Question 6: Part B |
55:17 | |
|
Practice Test 2014 AP Statistics |
1:00:07 |
| |
Intro |
0:00 | |
| |
Question 1 |
0:32 | |
| |
Question 2 |
9:46 | |
| |
| Question 2: Part A |
9:47 | |
| |
| Question 2: Part B |
12:28 | |
| |
| Question 2: Part C |
13:22 | |
| |
Question 3 |
15:38 | |
| |
| Question 3: Part A |
15:39 | |
| |
| Question 3: Part B |
18:40 | |
| |
Question 4 |
27:33 | |
| |
| Question 4: Part A |
27:34 | |
| |
| Question 4: Part B |
30:05 | |
| |
Question 5 |
34:15 | |
| |
| Question 5: Part 1 |
34:16 | |
| |
| Question 5: Part 2 |
37:29 | |
| |
| Question 5: Part 3 |
39:50 | |
| |
| Question 5: Part 4 |
40:59 | |
| |
| Question 5: Part 5 |
44:09 | |
| |
Question 6 |
45:30 | |