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Questions and Answers
What is biostatistics primarily concerned with?
What is biostatistics primarily concerned with?
Which type of analysis examines associations between two variables?
Which type of analysis examines associations between two variables?
What characterizes a nominal variable?
What characterizes a nominal variable?
Which of the following is an example of an ordinal variable?
Which of the following is an example of an ordinal variable?
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What is multivariable analysis used for?
What is multivariable analysis used for?
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What is the purpose of the mode in a data set?
What is the purpose of the mode in a data set?
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What does the interquartile range (IQR) represent?
What does the interquartile range (IQR) represent?
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How is variance calculated in statistics?
How is variance calculated in statistics?
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What does a 95% confidence interval indicate?
What does a 95% confidence interval indicate?
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Which of the following is a primary goal of hypothesis testing?
Which of the following is a primary goal of hypothesis testing?
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What does the null hypothesis (H0) suggest in hypothesis testing?
What does the null hypothesis (H0) suggest in hypothesis testing?
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What statistical measure is used to assess the extent of deviation from the average?
What statistical measure is used to assess the extent of deviation from the average?
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What is true about the relationship between sample size and confidence interval width?
What is true about the relationship between sample size and confidence interval width?
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What is a key difference between ratio and interval variables?
What is a key difference between ratio and interval variables?
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Which of the following correctly represents a characteristic of continuous variables?
Which of the following correctly represents a characteristic of continuous variables?
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How do you calculate the mean of a dataset?
How do you calculate the mean of a dataset?
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What is true about ordinal data?
What is true about ordinal data?
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Which statement is accurate regarding quantitative data?
Which statement is accurate regarding quantitative data?
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In what way is the median calculated when there is an even number of values?
In what way is the median calculated when there is an even number of values?
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What does it mean when a variable is described as 'discrete'?
What does it mean when a variable is described as 'discrete'?
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Which of the following is NOT a characteristic of quantitative variables?
Which of the following is NOT a characteristic of quantitative variables?
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Study Notes
Descriptive and Comparative Statistics
- Biostatistics is the analysis of biological data for health and related fields
- Univariate analysis examines a single variable using frequency, proportions, and averages
- Bivariate analysis studies two variables for possible associations (like exposure and outcome), using rate ratios, odds ratios, and other comparative tests
- Multivariable analysis examines relationships among three or more variables, featuring tests like multiple regression
What is a Variable?
- A variable is any quantity that differs between entities, or within an entity over time
- Variables describe characteristics of people, places, things, or ideas
- Variables are measured during observations or experiments
Types of Variables
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Nominal variables have no inherent order or value. Examples: university programs, countries, or types of fruit
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Ordinal variables have an intrinsic order but no equal differences between levels. Examples: severity of pain, educational levels, or rating scales.
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Quantitative variables can be numerically measured.
- Discrete quantitative variables have distinct values (like the number of pets a student owns).
- Continuous quantitative variables can take any value within a range (like blood pressure or temperature)
Displaying Data
- Nominal or ordinal variables can be displayed using pie charts or bar graphs.
- Quantitative variables are displayed using histograms, which show the distribution of data values.
Measuring Variability
- Range is the difference between the highest and lowest values.
- Quartiles divide the data into four equal parts, with IQR (interquartile range) capturing the middle 50%.
- Variance measures the extent of data points' deviation from the mean.
- Standard deviation gives the typical deviation from the mean.
- Standard error represents the standard deviation of the sample mean.
Mean and SD in a Normal Distribution
- About 68% of data is within one standard deviation of the mean (μ ± σ)
- About 95% of data is within two standard deviations of the mean (μ ± 2σ)
- About 99.7% of data is within three standard deviations of the mean (μ ± 3σ)
Confidence Intervals
- Confidence intervals provide a range where the true population value is likely to fall.
- A 95% CI means there is a 95% chance that the interval contains the true population value
Comparative Statistics
- Comparative statistics compare variables in different groups, for example, comparing average age in exposed and unexposed groups
- Used to contrast characteristics between groups
Inferential Statistics
- Inferential statistics use sample data to draw conclusions about a larger population
- Key concepts include the null hypothesis (no difference) and alternative hypothesis (difference exists)
- Hypothesis testing determines if sample data supports the null hypothesis.
Parametric vs. Non-Parametric Tests
- Parametric tests assume particular data distributions (often normal).
- Non-parametric tests do not rely on specific distributions and are often preferred when data doesn't follow a normal distribution. Ordinal or ranked data is often analyzed via non-parametric testing.
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Description
Test your knowledge on biostatistics and the different types of variables. This quiz covers univariate, bivariate, and multivariable analyses, along with definitions and examples of nominal and ordinal variables. Perfect for students in health and biology fields!