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Details

Final Exam
Null hypothesis, types of error, z/t tests, power, correct decision, etc.
35
Mathematics
Undergraduate 1
04/28/2014

Additional Mathematics Flashcards

 


 

Cards

Term
A process by which decisions are made concerning the values of parameters
Definition
Hypothesis Testing
Term
The probability with which we are willing to reject the Ho when it is in fact correct
Definition

Rejection level (significance level) 

 

α=.05

Term
A set of outcomes of an experiment that will lead to rejection of Ho
Definition
Rejection regions
Term
The results of a statistical test
Definition
Test statistic
Term
The value of a test statistic at or beyond which we will reject the Ho
Definition
Critical Value (use tables z or t)
Term
The number of independent pieces of information remaining after estimating one or more parameters
Definition

Degrees of freedom

 

df=n-1

Term
The hypothesis that the experiment was designed to investigate
Definition
Research hypothesis
Term
The statistical hypothesis tested by the statistical procedure; usually a hypothesis of no difference or no relationship
Definition
Null hypothesis
Term
The hypothesis that is adopted when Ho is rejected; usually the same as the research hypothesis
Definition
Alternative hypothesis (H1)
Term
A test that rejects extreme outcomes in only one specified tail of the distribution
Definition
One-tailed test
Term
Predicts which direction in which an individual will differ from the mean; rejection region is located in only one tail of the distribution
Definition
One tailed test
Term
A test that rejects extreme outcomes in either tail of the distribution
Definition
Two-tailed test
Term
More common because investigators often want to make sure they include all possible outcomes
Definition
Two-tailed test
Term
The most basic concept underlying all statistical tests
Definition
Sampling distribution
Term
The distribution of a statistic over repeated sampling from a specified population
Definition
Sampling distribution
Term
The standard deviation of a sampling distribution
Definition
Standard Error
Term
The distribution of sample means over repeated sampling from one population
Definition
Sampling distribution of the mean
Term
What must the sampling size be in order to approximate a normal distribution in a markedly skewed sample?
Definition
30
Term
The rate at which the sampling distribution of the mean approaches normal is a function of the shape of the parent population
Definition
Central Limit Theorem
Term
When μ and σ are known, what type of test do we conduct?
Definition
Z test
Term
When σ is unknown and it is estimated by using the sample standard deviation (s) what type of test is this?
Definition
T test
Term
As μ1-μ0 increases; likelihood of rejection does what?
Definition
Increases
Term
As you increase n (sample size) likelihood of rejection does what?
Definition
Increases
Term
If you increase s (variability) your likelihood of rejection does what?
Definition
Decreases
Term
If you go from alpha .05 to alpha .01 your likelihood of rejection does what?
Definition
Decrease
Term
If you go from a 1 tail to a 2 tail, likelihood of rejection does what?
Definition
Decrease
Term
When the results of he study show one thing but its not whats truly going on
Definition
Error
Term

Error of rejecting null when it is true

 

ex. test positive for strep but you do not have it

jury finds you guilty but you are innocent

Definition
Type 1 error
Term

The error of not rejecting null when it is false

 

ex. Doctor says nothing is wrong, person has something wrong

Jury finds defendent innocent but they are guilty

Test clean for drugs but you are taking them

Definition
Type 2 error
Term
The probability of a type 1 error
Definition
Alpha
Term
The probability of a type 2 error
Definition
Beta
Term

The probability of correctly rejecting a false null

 

ex. jury finds you guilty and you are guilty

doctor says you have strep and you have strep

Definition
Power
Term
1-B
Definition
power
Term
1-A
Definition
Correct decision
Term
A range of values within which we are reasonably certain the population mean lies
Definition
Confidence interval
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