Hypothesis Testing
Confidence Intervals
Probability Theory
ANOVA/SLR
Random
100
Null hypothesis
What is default belief/status quo/no difference/statement we think may not be true
100
1 - alpha =
What is Confidence Level
100
P(A & B)/P(B)
What is Conditional Probability or P(A|B)
100
Main visualizations for ANOVA and for SLR
What is Boxplots and Scatterplots
100
Almost all observations in Normal Distribution are within ____ standard deviations from the mean
What is +/- 3 standard deviations
200
P=.062 with alpha = .05. Conclusion?
What is Do Not Reject the Null Hypothesis
200
As confidence level increases, the confidence interval...
What is Gets wider
200
Range of F(y)
What is 0 to 1
200
Purpose of linear regression analysis
What is Determine the strength and direction of the linear relationship between 2 quantitative variables, Predict new values for Y
200
Discrete vs. Continuous random variables
What is Discrete probability must be summed; CRV can use calculus. With CRV P(Y=y)=0.
300
Confidence Intervals can use use to test ___________ hypotheses.
What is Two-sided/ Not-equal Alternative hypotheses.
300
As sample size increases, the t-distribution becomes more like the ________?
What is Standard Normal Distribution
300
F(x) & how is it found
What is Cumulative Distribution Function. Found by integrating pdf from the lower bounder of the RV to X
300
How to assess ANOVA interaction term?
What is Look at both interaction plots, consult ANOVA table p-value for interaction term (remove term if p<alpha)
300
E[Y] =
What is Integral of Y*f(y) across bounds of Y
400
Type I error
What is Rejecting the null hypothesis when it is true
400
We must use the t-distribution to create confidence intervals when...
What is the variance is unknown, the parent distribution is Normal, and the sample size is small. (If sample size is large, can use either Normal or t)
400
Central Limit Theorem
What is As sample size increases, the sampling distribution of X-bar better follows a normal distribution and is narrower. If sample size is >= 30 we can say the sampling distribution of X-bar is close enough to Normal that we can use the normal distribution for statistical inference.
400
Purpose of ANOVA
What is Determine if the means of 2 or more groups are equal, taking into account the variability both within and between the groups
400
Potential consequences of not randomizing an experiment
What is Lurking variable influence results, can't regard results as from a random sample (probability theory invalid)
500
P-value
What is The probability of getting a test statistic as extreme (or more) than we observed if the null hypothesis is true
500
Confidence Interval
What is An interval computed from sample data by a method that has probability C of producing an interval containing the true parameter value
500
Sampling Distribution of X-bar
What is All possible values of X-bar and their probabilities of occurring
500
r-squared
What is The percent of variability in Y explained by its linear relationship with X
500
If a histogram is skewed to the left, the median is __________ than the mean
What is greater than