# SCU1 - Introductory Statistics Online Course Content

## SCU 1 - Introductory Statistics Online Course Content

### Basic Statistical Concepts

1.      Overview of the book: 1.2.7

2.      Statistical thinking - research project, data structures

• Purpose of Statistics: 1.1.1
• Research objectives and links to statistical process: 1.1.2, 1.1.3
• Structure of data: 1.2.1

3.      Descriptive statistics - summary statistics and graphics

• Types of Variables: 1.2.2
• Visualising data and useful plots
• Histogram: 2.3.1-2.3.3, 2.3.8
• Boxplot: 2.4.1-2.4.5
• Frequency table: 3.1
• Describing data
• Measure of centre (mean, median, mode) and spread (variance, standard deviation): 2.5.1-2.5.4
• Mean: 2.5.1, 2.5.4
• Standard deviation and variance: 2.5.5, 2.5.6
• Percentiles and proportions: 2.6.1-2.6.5
• Transforming data: 2.7.2-2.7.3

### Inferential statistics

1.      Basic statistical inference concepts - how to draw statistical conclusions

• Variation and uncertainty in the data (concept): 1.3, 4.1, 4.2
• Probability and density: 4.3
• Types of statistical distribution
• Continuous data: Normal distribution
• What is a normal distribution: 4.3.5,4.5.1-4.5.3
• 3-standard deviations (rule of thumb): 4.5.4
• Normal probability table: 4.5.5-4.5.9
• Quantiles: QQ plot: 4.5.10
• "Yes/No" data: Binominal distribution
• What is a binomial distribution 4.6.1-4.6.4
• Normal approximation to the binomial 4.6.5-4.6.6
• Estimation of parameters (such as mean, standard deviation, etc.) from a random sample: 6.1.1-6.1.6

2.      Hypothesis testing - More on how to draw statistical conclusions

• Hypothesis testing (general concept)
• What is a statistical hypothesis test: 7.1
• Decision rules, significance level, p-value and statistical power: 7.4
• Testing hypotheses about mean of a single population
• Distribution of sample mean
• Known standard deviation(SD) of population: 4.4, 6.2.1, 6.2.3, 6.2.2,
• Unknown standard deviation (SD) of population: 6.2.4
• Confidence interval for sample mean: 6.3 (known and unknown SD of population)
• Hypothesis test for mean being equal to a specific value: 7.3 (known and unknown SD of population)
• Testing hypotheses about sample proportion from a single population
• Distribution of sample proportion: 6.4.1-6.4.4
• Confidence interval of sample proportion: 6.4.5-6.4.7
• Hypothesis test for sample proportion equal to a known proportion: 7.2
• Testing hypotheses about difference between means when comparing two populations
• visualization for two group means: 8.1, 2.3.6(histogram), 2.4.6, 2.6.6, 2.6.7(boxplot)
• Distribution of difference between two independent sample means: 8.3.1, 8.3.2
• Confidence interval of difference between two independent sample means: 8.3.3
• Hypothesis test for test two sample means: 8.3.4, 8.3.5
• Difference of paired data means (such as a "before and after" study on the same subjects): 8.5
• Testing hypotheses about difference between sample proportions for two populations
• Comparison for two groups of proportions: 8.4.1
• Distribution of difference between two sample proportions: 8.4.2
• Confidence interval of difference between two sample proportions: 8.4.3
• Hypothesis test for two sample proportions: 8.4.4

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