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92 Cards in this Set
- Front
- Back
It is the number of standard deviations that a given value is above or below the mean
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Z-score
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Is the likelihood or chance that something is true or that an event will occur.
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Probability
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all possible values
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Population
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a portion of the population
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sample
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all the sample means plotted on a histogram
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sampling distribution
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Two forms of inferential statistics:
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Hypothesis testing
Estimation |
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generalizing from a sample to a population with calculated degree of certainty
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Inferential statistics
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__________is a statistical procedure that allows researchers to use sample data to draw inferences about the population of interest.
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Hypothesis Testing
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A hypothesis test is a statistical method that uses sample data to evaluate a hypothesis about a ___________.
Also called a test of significance. |
population parameter.
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a claim or statement about a property or characteristic of a population.
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A hypothesis
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A scientific hypothesis must be_______.
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testable.
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What is the goal of hypothesis testing?
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The goal of the hypothesis test is to determine whether or not the treatment has any effect on the individuals in the population.
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This says there is no treatment effect.
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State the Null hypothesis H0:
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This says that the treatment has an effect on the dependent variable
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Scientific or Alternate Hypothesis H1 or (Ha):
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The null hypothesis cannot be proven _____only proven _____.
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True;False
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The Null and Alternate must be ___________of each other to cover all possibilities.
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exact opposites
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What are the two possible conclusions of hypothesis testing?
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Reject the null hypothesis H0.
Cannot reject the null hypothesis H0. |
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If, under a given assumption, the probability of a particular observed event is exceptionally small, we conclude that the assumption is probably not correct.
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Rare Event Rule
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__________ is the smallest level of significance at which
H0 would be rejected when a specified test procedure is used on a given data set. |
The P-value
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The _________ is a value computed from the sample data.
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test statistic
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Who sets the level of significance?
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researcher
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A significant result means the null hypothesis _______.
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has been rejected.
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What is the major distinction between a one tailed and two tailed test ?
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criteria they use for rejecting the H0
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A ____tailed test allows you to reject the H0 when the difference between the sample and the population is relatively small.
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one tailed test
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A ____tailed test requires a relatively large difference independent of direction.
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two-tailed test
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If the treatment is still similar to the original population, then we conclude that there is no evidence for a treatment effect, ___________.
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and we fail to reject the null hypothesis.
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Is the size of the difference between the sample and the population.
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critical factor
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allows researchers to use sample data to draw inferences about the population of interest.
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Hypothesis testing
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The mistake of rejecting the null hypothesis when it is actually true.
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Type I error
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The mistake of failing to reject the null hypothesis when it is actually false.
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Type II error
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The consequences of a type ___ error are usually not as serious as those from a Type ___ error.
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2 ;1(more dangerous)
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The power of a test can be increased by using____________.
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larger samples
in general, the larger the sample is the better it will represent the population. |
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Interpretation Cohen's d (effect size )
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0.2 or below = "small" effect
0.5 = "medium" effect 0.8 and above = a "large" effect |
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_____ is the probability that the test will correctly detect a real treatment effect and correctly reject the null hypothesis
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Power
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The _______ of a statistical test is the probability that the test will correctly reject a false null hypothesis.
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power
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As power ______, the probability of a type II error _______.
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Increases;Decreases
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_________ power analysis is conducted after a study has been completed, and uses the obtained sample size and effect size to determine what the power was in the study.
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Post-hoc
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The entire set of individuals defined in a study
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Target population
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Process by which you select the elements of the population
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Randomization
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The difference between a statistic and a parameter
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Sampling error
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results from sampling error
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Systematic bias
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Normal and usual variation in characteristics of a population. Scores are scattered around the mean
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Random variation
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Inferential statistics based on random sampling is the best way to...
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Eliminate systematic bias
Increase representation |
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Provides exactly equal chance of being selected
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Simple random sampling
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Used when you know that some variables are critical to your study
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Stratified random sampling
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Involves selecting every nth individual on a random list
Population = 100, sample size = 20, take every 5th |
Systematic sampling
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Which type of sampling method is a Classroom of students or Other intact groups?
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Convenience sampling
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Sampling error decreases as sample size increases. T/F
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True
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measures the effect of the hypothesis. It is not the actual significance level.
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Cohen’s d
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is a test statistic and transforms your raw score into a standard score
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Z score
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Two types of test statistics:
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Parametric
Non Parametric |
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What are the 4 levels of measurement?
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1. Nominal Scale
Gender, ethnic background 2. Ordinal Scale Hardness of rocks, beauty, military ranks 3. Interval Scale Celsius or Fahrenheit 4. Ratio Scale Kelvin temperature, speed, height, mass or weight |
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Assumptions for a Parametric test require data from an_____scale.
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interval or a ratio
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Examples of parametric tests:
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t test
F test (ANOVA Analysis of Variance) Multivariate Analysis of Variance (MANOVA) Pearson Product moment Correlation Regression Analysis |
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Non Parametric Assumptions use _____ scales.
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Use Nominal or Ordinal scales.
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Types of Non Parametric Tests
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Chi square
Mann-Whitney U test Wilcoxon Rank sum test Kruskal-Wallis One way analysis of variance Friedman Two way analysis of variance Spearman Rank order correlation |
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Nonparametric alternative to the t-test
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Mann-Whitney U Test
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The _________test is used to examine differences with categorical variables.
(religion, political preference, etc). |
chi-square
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The (n)number of possibilities minus one.
For the chi square n refers to the number of categories. |
Degrees of freedom df
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Soda Preference: Coke, Pepsi, Sprite, Fresca
What is your Degree of Freedom? |
Df = 3
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What parametric statistic would you use if you want to look at more than 2 groups?
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ANOVA
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P value has to be less than .05 in order to be significant, and to reject the null hypothesis.
T/F? |
True
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How do we test to see if the means between two sample populations are different?
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t test
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used to compare two sample means when the two samples are independent of one another
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Independent t test
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is used for matched samples (where the two samples are not independent of one another)
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Dependent t test
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Used to evaluate the (mean differences) variability between two or more treatments
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Analysis of Variance
ANOVA |
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A ratio of variability explained by the treatment (between groups) to error (within groups) variability
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F-Statistic
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Two possible explanations for variance:
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1. Treatment effect:
The differences between groups are caused by the treatments 2. Chance: The differences between groups are simply due to chance. |
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are analysis that are done after a significant ANOVA to determine exactly which mean differences are significant and which are not
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Post hoc tests
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different types of post hoc tests
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Tukey’s honestly significant difference (HSD) test
Schfee’ test More conservative safer test Bonferroni Simplest More conservative than Schfee |
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an extension of ANOVA in which main effects and interactions are assessed on a combination of DVs
can have more than one dependent variable |
MANOVA
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A statistical technique used to measure and describe the relationship between two variables.
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Correlation
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There is no cause and effect
Usually you are just observing relationships |
Correlation
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A correlation tells you that a relationship exists, but tell you _________ about cause and effect.
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nothing
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an unusual score, relative to the data set. It will influence the mean and the standard deviation.
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Outlier
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indicates the extent to which two variables are related.
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correlation coefficient
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A correlation Coefficient tells us:
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A correlation Coefficient tells us:
Direction of relationship Strength of relationship |
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Used when both variables are measured are least interval. Expressed as ‘r’
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Pearson product moment correlation
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Two ordinal variables:
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Spearman rank Order Correlation (rho)
Kendall rank order Correlation (tau). |
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Correlation Coefficient Strength Interpretation
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0.0-0.2 Very Low
0.2-0.4 Low 0.4-0.6 Moderate 0.6-0.8 High Moderate 0.8-1.0 High |
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Use to predict the probably an event will occur using a logistic curve for categorical data
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logistic regression
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Identify what types of variables may be used in a logistic regression
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Dependent variable
-Categorical -Dichotomous Independent variables -Any type |
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which statistical tests are used to determine statistical significance for Kaplan-Meier curves
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Wilcoxon rank-sum test
Mann-Whitney U test Logrank test: result in a p value |
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Probability of experiencing an event over time
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survival analysis
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Patients followed over time until they experience an event
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Kaplan-Meir
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Loss of patient data before an event
Patient drop out |
Censoring
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A linear association between 2 continuous variables (one IV one DV)
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Linear Regression
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The________ tells us about the linear relationship (strength and direction) between variables.
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Pearson r
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By squaring Pearson r, we can calculate the __________
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coefficient of determination, r2
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______ tells us how much of the variation in the Y is accounted for by the X
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coefficient of determination, r2
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The goal of the regression equation is to find the best fitting straight line for a set of data. T/F? what does this mean?
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True , In other words, to make the best prediction.
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Often more than one variable predicts an outcome.
Take into account the scores from several IVs on a DV. |
Multiple regression
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