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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
Z-score
Is the likelihood or chance that something is true or that an event will occur.
Probability
all possible values
Population
a portion of the population
sample
all the sample means plotted on a histogram
sampling distribution
Two forms of inferential statistics:
Hypothesis testing
Estimation
generalizing from a sample to a population with calculated degree of certainty
Inferential statistics
__________is a statistical procedure that allows researchers to use sample data to draw inferences about the population of interest.
Hypothesis Testing
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.
a claim or statement about a property or characteristic of a population.
A hypothesis
A scientific hypothesis must be_______.
testable.
What is the goal of hypothesis testing?
The goal of the hypothesis test is to determine whether or not the treatment has any effect on the individuals in the population.
This says there is no treatment effect.
State the Null hypothesis H0:
This says that the treatment has an effect on the dependent variable
Scientific or Alternate Hypothesis H1 or (Ha):
The null hypothesis cannot be proven _____only proven _____.
True;False
The Null and Alternate must be ___________of each other to cover all possibilities.
exact opposites
What are the two possible conclusions of hypothesis testing?
Reject the null hypothesis H0.
Cannot reject the null hypothesis H0.
If, under a given assumption, the probability of a particular observed event is exceptionally small, we conclude that the assumption is probably not correct.
Rare Event Rule
__________ 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
The _________ is a value computed from the sample data.
test statistic
Who sets the level of significance?
researcher
A significant result means the null hypothesis _______.
has been rejected.
What is the major distinction between a one tailed and two tailed test ?
criteria they use for rejecting the H0
A ____tailed test allows you to reject the H0 when the difference between the sample and the population is relatively small.
one tailed test
A ____tailed test requires a relatively large difference independent of direction.
two-tailed test
If the treatment is still similar to the original population, then we conclude that there is no evidence for a treatment effect, ___________.
and we fail to reject the null hypothesis.
Is the size of the difference between the sample and the population.
critical factor
allows researchers to use sample data to draw inferences about the population of interest.
Hypothesis testing
The mistake of rejecting the null hypothesis when it is actually true.
Type I error
The mistake of failing to reject the null hypothesis when it is actually false.
Type II error
The consequences of a type ___ error are usually not as serious as those from a Type ___ error.
2 ;1(more dangerous)
The power of a test can be increased by using____________.
larger samples

in general, the larger the sample is the better it will represent the population.
Interpretation Cohen's d (effect size )
0.2 or below = "small" effect
0.5 = "medium" effect
0.8 and above = a "large" effect
_____ is the probability that the test will correctly detect a real treatment effect and correctly reject the null hypothesis
Power
The _______ of a statistical test is the probability that the test will correctly reject a false null hypothesis.
power
As power ______, the probability of a type II error _______.
Increases;Decreases
_________ 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.
Post-hoc
The entire set of individuals defined in a study
Target population
Process by which you select the elements of the population
Randomization
The difference between a statistic and a parameter
Sampling error
results from sampling error
Systematic bias
Normal and usual variation in characteristics of a population. Scores are scattered around the mean
Random variation
Inferential statistics based on random sampling is the best way to...
Eliminate systematic bias
Increase representation
Provides exactly equal chance of being selected
Simple random sampling
Used when you know that some variables are critical to your study
Stratified random sampling
Involves selecting every nth individual on a random list
Population = 100, sample size = 20, take every 5th
Systematic sampling
Which type of sampling method is a Classroom of students or Other intact groups?
Convenience sampling
Sampling error decreases as sample size increases. T/F
True
measures the effect of the hypothesis. It is not the actual significance level.
Cohen’s d
is a test statistic and transforms your raw score into a standard score
Z score
Two types of test statistics:
Parametric
Non Parametric
What are the 4 levels of measurement?
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
Assumptions for a Parametric test require data from an_____scale.
interval or a ratio
Examples of parametric tests:
t test
F test (ANOVA Analysis of Variance)
Multivariate Analysis of Variance (MANOVA)
Pearson Product moment Correlation
Regression Analysis
Non Parametric Assumptions use _____ scales.
Use Nominal or Ordinal scales.
Types of Non Parametric Tests
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
Nonparametric alternative to the t-test
Mann-Whitney U Test
The _________test is used to examine differences with categorical variables.
(religion, political preference, etc).
chi-square
The (n)number of possibilities minus one.
For the chi square n refers to the number of categories.
Degrees of freedom df
Soda Preference: Coke, Pepsi, Sprite, Fresca
What is your Degree of Freedom?
Df = 3
What parametric statistic would you use if you want to look at more than 2 groups?
ANOVA
P value has to be less than .05 in order to be significant, and to reject the null hypothesis.
T/F?
True
How do we test to see if the means between two sample populations are different?
t test
used to compare two sample means when the two samples are independent of one another
Independent t test
is used for matched samples (where the two samples are not independent of one another)
Dependent t test
Used to evaluate the (mean differences) variability between two or more treatments
Analysis of Variance
ANOVA
A ratio of variability explained by the treatment (between groups) to error (within groups) variability
F-Statistic
Two possible explanations for variance:
1. Treatment effect:
The differences between groups are caused by the treatments
2. Chance:
The differences between groups are simply due to chance.
are analysis that are done after a significant ANOVA to determine exactly which mean differences are significant and which are not
Post hoc tests
different types of post hoc tests
Tukey’s honestly significant difference (HSD) test

Schfee’ test
More conservative safer test

Bonferroni
Simplest
More conservative than Schfee
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
A statistical technique used to measure and describe the relationship between two variables.
Correlation
There is no cause and effect

Usually you are just observing relationships
Correlation
A correlation tells you that a relationship exists, but tell you _________ about cause and effect.
nothing
an unusual score, relative to the data set. It will influence the mean and the standard deviation.
Outlier
indicates the extent to which two variables are related.
correlation coefficient
A correlation Coefficient tells us:
A correlation Coefficient tells us:
Direction of relationship
Strength of relationship
Used when both variables are measured are least interval. Expressed as ‘r’
Pearson product moment correlation
Two ordinal variables:
Spearman rank Order Correlation (rho)
Kendall rank order Correlation (tau).
Correlation Coefficient Strength Interpretation
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
Use to predict the probably an event will occur using a logistic curve for categorical data
logistic regression
Identify what types of variables may be used in a logistic regression
Dependent variable
-Categorical
-Dichotomous

Independent variables
-Any type
which statistical tests are used to determine statistical significance for Kaplan-Meier curves
Wilcoxon rank-sum test
Mann-Whitney U test
Logrank test: result in a p value
Probability of experiencing an event over time
survival analysis
Patients followed over time until they experience an event
Kaplan-Meir
Loss of patient data before an event
Patient drop out
Censoring
A linear association between 2 continuous variables (one IV one DV)
Linear Regression
The________ tells us about the linear relationship (strength and direction) between variables.
Pearson r
By squaring Pearson r, we can calculate the __________
coefficient of determination, r2
______ tells us how much of the variation in the Y is accounted for by the X
coefficient of determination, r2
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?
True , In other words, to make the best prediction.
Often more than one variable predicts an outcome.
Take into account the scores from several IVs on a DV.
Multiple regression