Basic concepts of statistics
HLT 362 Topic 5 DQ 2
Now that you are familiar with the basic concepts of statistics, what are some examples of when you have seen or heard statistics used inappropriately?
ADDITIONAL DETAILS
Basic concepts of statistics
Introduction
Statistics is a vital tool for data analysis. It’s a helpful way to interpret and organize your data, but it can also be intimidating if you don’t understand its basic concepts. If you want to learn more about statistics, here are the basics:
Dependent vs. Independent Variable:
When you’re looking at a graph, the dependent variable is what’s being measured. For example, in a study of how many boxes of cereal it takes to fill an airplane seat, your dependent variable is “how many boxes of cereal.” In this case, we can measure how much food is in each bag by weighing them and recording their weight on another sheet of paper.
The independent variable is what you manipulate—the thing that changes while other things stay constant or vary slightly to ensure they don’t affect your results too much (for example: changing temperature or humidity levels). This could be anything from turning knobs on machines under controlled conditions to changing how people think about something like happiness or sadness through surveys or interviews with subjects over time until we get our desired outcome (in this case: whether happiness increases when people think long-term).
Why does this matter? Because sometimes there will be confusion between these terms because in some cases (like doing brain imaging studies), both variables change simultaneously but often not necessarily at the same rate!
Ratio vs. Interval Data:
For example, if you have the height of an adult man and that of an adult woman:
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The data for this is interval data (difference between two numbers).
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If we want to compare this with ratio data (ratio between two numbers), we would need to convert it into ratio form by dividing both sides by the difference between their heights.
Normal distribution:
The normal distribution describes the distribution of a large number of data points. It is known as the bell-shaped curve because it resembles an upside-down bell, with most of its mass concentrated at one end.
The mean and standard deviation are used to describe this data set; if you know these two values, you can determine how far apart or close together your sample data points fall from each other (measured by their distance from the center axis), and in what direction they tend to lie on that axis (up or down).
Normal distributions have two main characteristics: they’re symmetrical about their mean value; and they have no outliers (data point whose value lies away from both ends). This means that there are no extreme values—the highest point will be around 2 standard deviations above average while the lowest point will always be closer than 3 standard deviations away from average!
Central Limit Theorem (CLT):
The central limit theorem (CLT) is a theorem about the distribution of sample means. It says that if the sample size is large enough, then the sample mean will be normally distributed. This means that if you take many samples from a population and average them together, then your results will resemble a normal distribution.
The larger your sample size gets, the more closely its mean will resemble a normal distribution.
Correlation vs. Causation:
Correlation does not imply causation. Correlation is the statistical relationship between two variables, such as the number of people who die from heart attacks each year and the number of miles that people drive in a given year. The correlation coefficient can be interpreted as: How closely are these two things related? If you had three variables, like age, income and weight (or height), then you would have a positive value if all three were positively correlated with one another—for example if younger people tend to be heavier than older ones do—and negative values if they were negatively correlated—if younger people tended to be thinner than older ones did.
But correlation doesn’t tell us anything about whether one thing causes another; it just shows that when we measure one thing against another over time or across populations there tends not always be perfect correspondence between them! So how do we know whether there’s really any cause-and-effect relationship at play here?
Statistics is a helpful tool for interpreting data
Statistics is the study of learning from data. It’s used to determine whether or not a correlation exists between two variables, and it’s also used to determine whether or not a causal relationship exists between two variables.
Conclusion
So, there you have it! Statistics has a lot to offer. It’s not the only tool out there, but it can help tell us a lot about our world and how we are all connected. We hope this article gave you some insight into what statistics is and how it works. If you want more information on any of these topics or other related topics, check out our blog section with over 100 articles written by experts in their fields!
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