Macq.

Semester 1, 2018

HD STAT150 FULL SUMMARY NOTES

20 pages

4,578 words

\$29.00

Description

Everything you need to ace Stat150! Includes diagrams and worked examples
WEEK 1: INTRODUCTION TO STATISTICS 4
Objective and Scope of Statistics 4
Study Design 4
Types of Studies 4
Variables 4
Bias 4
Sample Size 4
Data Classification 4
WEEK 2: SUMMARISING AND DISPLAYING DATA 5
Graphs and Summaries for Categorical Data 5
Graphs and Summaries for Numerical Data 5
Histograms 5
Measures of Centre 5
Range 5
Interquartile range 5
Standard Deviation 5
WEEK 3: SUMMARISING AND GRAPHING NUMERICAL DATA 6
Mean or Median 6
Range, IQR or standard deviation 6
Box Plots 6
Fences 6
Whiskers 6
Outliers 6
Scatterplots 6
Population Distributions 7
WEEK 4: INTRODUCTION TO DISTRIBUTIONS 8
Introduction to Distributions 8
Random Variables 8
Discrete and Continuous Random Variables 8
Discrete and Continuous Distributions 8
Discrete Distributions: 8
The Binomial Distribution 8
Continuous Distributions: 8
The Normal Distribution 8
The Standard Normal Distribution 8
Areas Under a Normal Curve 8
Percentiles for a Normal Distribution 8
WEEK 5: PROPORTIONS 9
A Confidence Interval for Estimating p 9
WEEK 6: MEANS 10
The Central Limit Theorem 10
Standardising: z-scores 10
Confidence Intervals when the Standard Deviation is Known 10
1. Estimating the Mean: A Point Estimate 10
2. Estimating the Mean: An Interval Estimate 10
Confidence Interval when the Standard Deviation is Unknown 10
1. T-Critical Value 10
How do we Find t-Critical Values? 10
WEEK 7: HYPOTHESIS TESTS FOR A POPULATION MEAN 11
One Sample z-Test of a Population Mean 11
One Sample t-Test of a Population Mean 12
Standardising 12
WEEK 8: Comparing Population Means 13
Paired t-Test 13
95% Confidence Interval 13
Two Sample t-Test: 14
95% confidence interval 14
WEEK 9: SIMPLE LINEAR REGRESSION 15
The least squares regression line 15
Residuals 15
Interpretation 15
Assumptions of the linear model 15
Testing the slope of the least squares regression line 15
Hypothesis Test: Testing for a Linear Relationship 16
95% confidence interval for B1 16
WEEK 10: SIMPLE LINEAR REGRESSION-PART 2 17
Rules for Valid Predictions 17
Coefficient of Determination (R^2) 17
Correlation Coefficient (r) 17
WEEK 11: CATEGORICAL DATA ANALYSIS: PART 1 18
One sample z-Test for a Population Proportion 18
95% Confidence Interval for p 18
Chi Squared (𝜒2) Goodness-of-Fit Test 19
CATEGORICAL DATA ANALYSIS: PART 2 20
𝜒2 Test of Independence 20
Chi-Squared Test of Homogeneity 20
Displaying and Analysing Data 20

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