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what does dependent and independent mean in statistics

by Trisha Greenholt Published 3 years ago Updated 2 years ago

Dependent and independent variables are variables in mathematical modeling, statistical modeling and experimental sciences

Experiment

An experiment is a procedure carried out to verify, refute, or validate a hypothesis. Experiments provide insight into cause-and-effect by demonstrating what outcome occurs when a particular factor is manipulated. Experiments vary greatly in goal and scale, but always rely on repe…

. Independent variables are controlled inputs. Dependent variables represent the output or outcome resulting altering these inputs.

Dependent events influence the probability of other events – or their probability of occurring is affected by other events. Independent events do not affect one another and do not increase or decrease the probability of another event happening.May 1, 2022

Full Answer

How to identify independent and dependent?

  • Correct: My professor is intelligent. I've learned a lot from her.
  • (or) My professor is intelligent; I've learned a lot from her.
  • (or) My professor is intelligent, and I've learned a lot from her.
  • (or) My professor is intelligent; moreover, I've learned a lot from her.

How do you graph independent and dependent variables?

What are examples of independent clauses?

  • I enjoy sitting by the fireplace and reading.
  • Waiting to have my car’s oil changed is boring.
  • She wants to travel the world and see wonderful sights.
  • Our planets revolve around the sun.
  • The professor always comes to class fully prepared.
  • Hurricanes strengthen over warm waters.

How do you identify independent and dependent variables?

  • Independent variables cause changes in another variable.
  • The researchers control the values of the independent variables. They are controlled or manipulated variables.
  • Experiments often refer to them as factors or experimental factors. In areas such as medicine, they might be risk factors.
  • Treatment and control groups are always independent variables. ...

What is the difference between independent and dependent variables?

The DRY MIX can help keep the variables straight:

  • D – Dependent variable
  • R – Responding variable
  • Y – Axis on which the dependent or responding variable is graphed- (the vertical axis)
  • M – It is the change variable or manipulated variable which value can be changed using in the experiment
  • I – is the independent variable
  • X – is the axis on which the independent or manipulated variable is graphed.

How do you tell if it's an independent or dependent?

The independent variable is the cause. Its value is independent of other variables in your study. The dependent variable is the effect. Its value depends on changes in the independent variable.

What does it mean to be dependent in statistics?

When two events are dependent events, one event influences the probability of another event. A dependent event is an event that relies on another event to happen first.

How do you determine independent and dependent probability?

3:146:44Probability of Independent and Dependent Events (6.2) - YouTubeYouTubeStart of suggested clipEnd of suggested clipThis process is incorrect. This formula can only be used for independent events and we know thatMoreThis process is incorrect. This formula can only be used for independent events and we know that this is not an independent event since the marbles are being drawn without replacement. The term

What does independent in statistics mean?

Two events are independent if the occurrence of one event does not affect the chances of the occurrence of the other event.

What are dependent and independent samples?

Dependent samples are paired measurements for one set of items. Independent samples are measurements made on two different sets of items. When you conduct a hypothesis test using two random samples, you must choose the type of test based on whether the samples are dependent or independent.

What is the difference between dependent and independent variable?

The independent variable is the cause. Its value is independent of other variables in your study. The dependent variable is the effect. Its value depends on changes in the independent variable.

What is dependent event in statistics?

In statistics: Events and their probabilities. … product” are said to be dependent. If two events are independent, the occurrence of one event does not affect the probability of the other event taking place.

What is an example of an independent event?

Independent events are those events whose occurrence is not dependent on any other event. For example, if we flip a coin in the air and get the outcome as Head, then again if we flip the coin but this time we get the outcome as Tail. In both cases, the occurrence of both events is independent of each other.

What does dependent mean in math?

A dependent variable is a variable whose value depends upon independent variable s. The dependent variable is what is being measured in an experiment or evaluated in a mathematical equation. The dependent variable is sometimes called "the outcome variable."

What does it mean for two variables to be independent?

If X and Y are two random variables and the distribution of X is not influenced by the values taken by Y, and vice versa, the two random variables are said to be independent. Mathematically, two discrete random variables are said to be independent if: P(X=x, Y=y) = P(X=x) P(Y=y), for all x,y.

What is an example of a dependent event in probability?

More formally, we say that when two events are dependent, the occurrence of one event influences the probability of another event. Simple examples of dependent events: Not paying your power bill on time and having your power cut off. Being the first person to enter a movie theater and finding a good seat.

What is the difference between independent and dependent events quizlet?

Two events are independent when the occurrence of one event does not affect the probability of the occurrence of the other event. Two events are dependent when the occurrence of one event affects the probability of the occurrence of the other event.

What is independent sample?

In independent samples, subjects in one group do not provide information about subjects in other groups. Each group contains different subjects and there is no meaningful way to pair them. Independent groups are more common in hypothesis testing.

Why are groups dependent?

Groups are frequently dependent because they contain the same subjects— that’s the most common example. However, that’s not always the case. Groups with different subjects can be dependent samples if the subjects in one group provide information about the subjects in the other group.

What is the advantage of dependent samples?

The primary advantage of dependent samples is that you measure the same subjects across different conditions, which allows them to be their own controls. They have the same unique mix of participant variables during all measurements, removing them as sources of variation. Keep this lower variability in mind during my practical demonstration later in this post!

Why are random assignments not controlled?

Because each group contains different subjects , there can be a wide variety of subject specific factors that influence how they respond to the test. While random assignment to groups can reduce systematic differences between groups, these subject specific factors are not controlled.

What is a hypothesis test?

Hypothesis tests and statistical modeling that compare groups have assumptions about the nature of those groups. Choosing the correct test or model depends on knowing which type of group you have. Additionally, when designing your study, selecting the best type can help you tailor the design to meet your needs.

When thinking about comparing groups, you frequently picture independent groups.?

When thinking about comparing groups, you frequently picture independent groups. For instance, when you imagine comparing a treatment group to a control group , you’re probably assuming these groups contain different subjects. However, by understanding the pros and cons of independent and dependent samples, you can design a study to meet your needs more effectively. The best choice depends on the subject matter and requirements of your experiment. Consider the following while deciding your approach.

Can you have dependent samples without an identifier?

While it’s possible to have dependent samples without an identifier column, analysts typically include them. For dependent groups, the focus is on the differences between measurements for each subject. Consequently, if you can meaningfully subtract values in a row, that’s a sure sign of dependency.

How to tell if a variable is independent or dependent?

You can think of independent and dependent variables in terms of cause and effect: an independent variable is the variable you think is the cause, while a dependent variable is the effect. In an experiment, you manipulate the independent variable and measure the outcome in the dependent variable. For example, in an experiment about the effect ...

What are dependent variables?

Dependent variables are also known by these terms: Response variables (they respond to a change in another variable) Outcome variables (they represent the outcome you want to measure) Left-hand-side variables (they appear on the left-hand side of a regression equation)

What are the variables in a cause and effect relationship?

The variables in a study of a cause-and-effect relationship are called the independent and dependent variables. The independent variable is the cause. Its value is independent of other variables in your study. The dependent variable is the effect. Its value depends on changes in the independent variable.

What is the norm for graphing?

The norm is to place the independent variable on the “x”or horizontal axis and the dependent variable on the “y” or vertical axis.

How many levels of a drug can you apply to determine if the independent variable has an effect?

You can apply just two levels (e.g. the new medication and the placebo) in order to find out if the independent variable has an effect at all. You can also apply multiple levels (e.g. three different doses of the new medication) to find out how the independent variable affects the dependent variable.

What are variables in research?

In research, variables are any characteristics that can take on different values, such as height, age, species, or exam score . In scientific research, we often want to study the effect of one variable on another one. For example, you might want to test whether students who spend more time studying get better exam scores.

Can researchers manipulate the independent variable?

Outside of an experimental setting, researchers often cannot directly manipulate or change the independent variable that they’re interested in. Instead, they must find already-existing examples of the independent variable, and investigate how changes in this variable affect the dependent variable.

What is dependent in statistics?

In mathematics – namely statistics – as well as in real life, events are often categorized as either dependent or independent. Dependent events influence the probability of other events – or their probability of occurring is affected by other events. Independent events do not affect one another and do not increase or decrease the probability ...

Why is statistics important in finance?

Basic Statistics Concepts for Finance A solid understanding of statistics is crucially important in helping us better understand finance. Moreover, statistics concepts can help investors monitor. , events are often classified as dependent or independent. As a basic rule of thumb, the existence or absence ...

What is the law of total probability?

Total Probability Rule The Total Probability Rule (also known as the law of total probability) is a fundamental rule in statistics relating to conditional and marginal.

Is the color of your hair dependent on where you work?

For example, the color of your hair has absolutely no effect on where you work. The two events of “having black hair” and “working in Allentown” are completely independent of one another.

Can dependent events only occur if another event occurs first?

In other words, a dependent event can only occur if another event occurs first. While this is a mathematic/statistical term, speaking specifically to the subject of probabilities, the same is true of dependent events as they occur in the real world.

What are the two types of variables in health research?

In analytical health research there are generally two types of variables. Independent variables are what we expect will influence dependent variables. A Dependent variable is what happens as a result of the independent variable.

What is a confounding variable?

A confounding variable, or confounder, affects the relationship between the independent and dependent variables. A confounding variable in the example of car exhaust and asthma would be differential exposure to other factors that increase respiratory issues, like cigarette smoke or particulates from factories.

What is dependent variable?

Dependent variables are also called response variables, outcome variables, target variables or output variables. The terms "dependent" and "independent" here have no direct relation to the concept of statistical dependence or independence of events.

What is the term for a set of variables that depend on another set of variables?

Statistical models normally specify how one set of variables, called dependent variables, functionally depend on another set of variables, called independent variables.

What are the two core paradigms of predictive modeling?

This course introduces to the basic concepts in predictive analytics to visualize and explore data to understand the two core paradigms that account for most business applications of predictive modeling: classification and prediction.

Is body height a dependent variable?

At the same time, another reasonable model may consider body height as the dependent variable and the weight as the independent variable: and are parameters of the second model. In other words, the models explain the value of the dependent variable by values of the independent variables. Therefore, independent variables are often called predictor ...

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Independent Samples vs. Dependent Samples

Image
Hypothesis testsand statistical modeling that compare groups have assumptions about the nature of those groups. Choosing the correct test or model depends on knowing which type of groups your experiment has. Additionally, when designing your study, selecting the best type can help you tailor the design to meet your nee…
See more on statisticsbyjim.com

Pros and Cons of Independent and Dependent Samples

  • When thinking about comparing groups, you frequently picture independent groups. For instance, when you imagine comparing a treatment group to a control group, you’re probably assuming these groups contain different subjects. However, by understanding the pros and cons of independent and dependent samples, you can design a study to meet your needs more effective…
See more on statisticsbyjim.com

Types of Statistical Analyses For Independent and Dependent Groups

  • After choosing the type of samples and conducting the experiment, you need to use the correct statistical analysis. The table displays pairs of related analyses for independent and dependent samples. Several notes about the table. While analyses for dependent groups typically focus on individual changes, McNemar’s test is an exception. That test compares the overall proportions …
See more on statisticsbyjim.com

Example of Dependent Groups and Their Extra Statistical Power

  • I’m closing with an example that illustrates the extra statistical powerthat dependent samples can provide. Imagine two studies that, by an amazing coincidence, obtain the same measurements exactly. The only difference is that one has independent groups, while the other has dependent groups. It should go without saying, but I’ll say it anyway—you will never run a 2-sample t-test an…
See more on statisticsbyjim.com

Understanding The Different Results

  • The analyses make different assumptions about the nature of the samples. For the 2-sample t-test, the two groups contain entirely different individuals. While the treatment group has a higher mean IQ score than the control group, we don’t know each subject’s starting score because there was no pretest. Perhaps the treatment group started with higher scores by chance? We don’t kn…
See more on statisticsbyjim.com

What Is An Independent variable?

Image
An independent variable is the variable you manipulate or vary in an experimental studyto explore its effects. It’s called “independent” because it’s not influenced by any other variables in the study. Independent variables are also called: 1. Explanatory variables(they explain an event or outcome) 2. Predictor variables (th…
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Types of Independent Variables

  • There are two main types of independent variables. 1. Experimental independent variablescan be directly manipulated by researchers. 2. Subject variablescannot be manipulated by researchers, but they can be used to group research subjects categorically.
See more on scribbr.com

What Is A Dependent variable?

  • A dependent variable is the variable that changes as a result of the independent variable manipulation. It’s the outcome you’re interested in measuring, and it “depends” on your independent variable. In statistics, dependent variables are also called: 1. Response variables (they respond to a change in another variable) 2. Outcome variables (they re...
See more on scribbr.com

Identifying Independent vs. Dependent Variables

  • Distinguishing between independent and dependent variables can be tricky when designing a complex study or reading an academic paper. A dependent variable from one study can be the independent variable in another study, so it’s important to pay attention to research design. Here are some tips for identifying each variable type.
See more on scribbr.com

Independent and Dependent Variables in Research

  • Independent and dependent variables are generally used in experimental and quasi-experimentalresearch. Here are some examples of research questions and corresponding independent and dependent variables. For experimental data, you analyze your results by generating descriptive statistics and visualizing your findings. Then, you select an appropriate st…
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Visualizing Independent and Dependent Variables

  • In quantitative research, it’s good practice to use charts or graphs to visualize the results of studies. Generally, the independent variable goes on the x-axis (horizontal) and the dependent variable on the y-axis (vertical). The type of visualization you use depends on the variable types in your research questions: 1. A bar chartis ideal when you have a categorical independent variable…
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