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Purpose of descriptive statistics - introduce Lernen beginnen
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Introduce the players of the game (the variables that play a role in the analysis), inform the reader of the nature of the variable (discrete, continuous, own research etc.).
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- Nominal – only categories, no ranking - Ordinal – ordered categories, distances not clear - Interval – ordered/ranking, equal distances assumed - Ratio – ordered/ ranking, equal distances assumed, absolute zero, no negative numbers
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extent to which measure correctly represents the concept of the study Internal validity – how well the study was done External validity – are the results generalized to other situations
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measure that indicates the symmetry of a distribution compared to a normal distribution
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tailedness of a distribution – how many observations are in the tails compared to normal distribution
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Proportion of the variation y that is explained by the linear combination of the x variables
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adjust for the number of predictors in the model – how well the model fits the data, corrected by the degrees of freedom
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overall significance of the model
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categorical variable with only two values, 0 and 1. Value 1 satisfies a condition
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explanatory variables that are introduced in the regression model in order to assess or clarify the relationship between two or more variables (hypothesized relationship)
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if u estimate the models including those variables, you can solve the problem of multicollinearity
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high correlation between at least two independent variables.
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Uneven distribution of errors in the scatterplot, i.e., different variances for different observations (e.g., groups of observations have different variances, or the variance could depend on the size of the observation).
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the DV influences the IV Reverse causality occurs when the dependent and independent variables have been gathered at the same point of time. The time dimension is neglected and cause does not precede effect.
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correlation between the explanatory variables and error term
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iv in a regression model is not correlated with an error term
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relationship between X predictor and Y outcome depends on a third variable Z moderator
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a mediator explains the relationship between two variables
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Logistic regression rather than OLS? Lernen beginnen
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if the dependent variable is a categorical (usually, binary) variable
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Exploratory and confirmatory factor analysis Lernen beginnen
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EFA is used to identify and quantify factors or latent variables, whereas CFA is used for testing hypotheses about the structures of those latent variables
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correlation between a factor and variable, can take values between -1 and 1 due to a correlation
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Main uses of factor analysis Lernen beginnen
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- To understand the structure of the set of variables in the analysis - To analyze a questionnaire to measure the underlying (latent) variable - To reduce the dataset to a manageable size while retaining as much of the original information as possible
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- proportion of variance that a variable share with other variables in the analysis
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measure of how much of the common variance (communality) of the observed variables a factor explains.
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Purpose of descriptive statistics - problems Lernen beginnen
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- Signal possible problems and things to keep in mind, e.g. large standard deviations (why are those a problem? - large heterogeneity, might be two different subpopulations). Whether there are negative values or not, truncated distribution
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