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Chapter 10
Test (t) for Two Independent samples
31
Psychology
Undergraduate 2
03/31/2014

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Term
What are two general research strageies that can be used to obtain the two sets of data compared?
Definition
  1. The two sets of data could come from two completely separate groups.  Which also known as the independent-measures or a between study.
  2. The two sets of data could come from the same group of participants.  Also known as repeated measures/within-subjects
Term
What is a independent-measures?
Definition
When the research strategy invovles two separate groups of samples.
Term
What is a between study?
Definition
It is the same as an Independant study that invovles two seperate groups
Term
What does hypothesis test?
Definition
Allows researchers to use the data from two separate samples to evaluate the mean difference between two populations or between two treatment conditions.
Term
What is repeated-measures?
Definition
The two sets of data could come from the same group of participants.
Term
What is within-subjects?
Definition
It is the same as repeated-measures.  The two sets of data could come from the same group of participants.
Term
In a independent-measure study what symbol would be used for the number of scores in the first sample?
Definition
n1
Term
In a independent-measure study what symbol would be used for the number of scores in the second sample?
Definition
n2
Term
In a independent-measure study what symbol for the sample mean.
Definition
M1 and M2
Term
In a independent-measure study what symbol would be sums of squares?
Definition
SSand SS2
Term
What is the goal of the idependent-measures research study?
Definition
To evaluate the mean difference to evaluate the difference between two populations (or between two treatment conditions).
Term
What is the symbol for the mean population and subscipt.
Definition
u1 and u2
Term
What are the two formats of u1 - u2?
Definition
H0: = 0    (no differnce between the population means?)
Term
The symbol for the standard error for the sample mean difrrerence is represented by what?
Definition
s(m1-m2)
Term
What does a standard error generally measure?
Definition
how accurately a statistic represnts a parameter
Term
What is the null hypotheses for an independent-measure test?
Definition

Ho: μ- μ2 = 0  or  μ1 = μ2

(There is no difference between the population means)

Term
What is the alternative hypotheses for an independent-measure test?
Definition

H1: μ- μ≠ 0   or   μ1 ≠ μ2 

(There is a mean difference)

this can also can be stated as

 

Term
What is the basic stucture of the (t) formula for both the independent measures and the single sample hyopothesis test?
Definition

t = sample statistic - hypothesized population mean

estimated standard error

 

t = M-u

      sm

Term
Basically what does the independent measures (t) do?
Definition
a two sample (t) that doubles all the elements of the single sample (t) formulas
Term
What is the formula for a two sample (t) hypothesis test?
Definition

t = (M1 - M2) - (μ1 - μ2)

                                    

s(M1 - M2)

 

t = sample mean difference - population mean differance

estimated standard error

Term
The mean difference independent measure hypothesis test should alway equal what?
Definition

μ1 - μ2 = 0

Therefore the (t) cans simple be written as follows:

 

t = (M- M2)

                      

      s(M- M2)

 

t = sample mean difference   

     estimated standare error 

Term
In the (t) formulas for hypothesis what symbol represents the standard error.
Definition
s(M1 -M2)
Term
In the (t) formulas for hypothesis what symbol represents the sample mean difference.
Definition
(M1 - M2)
Term
In the (t) formulas for hypothesis what symbol represents the mean difference.
Definition
1 - μ2)
Term
In general what does a standard error measure?
Definition
How accurately a statstic represents a parameter.
Term

What is a form of a standard error.

 

Definition
sstatistic or s(M1 - M2)
Term
What is the symbol for a M standard error?
Definition
sm
Term
What is the symbol for pool variance?
Definition

sp2 =  SS1 + SS2

                             

           df1 + df2

Term
What is the formula for Cohen's d
Definition

d = estimated mean difference          

estimated standard deviation

 

d = μ1 - μ2

                 

     σ

Term
What is the formula for Cohen's d when it becomes estimated using sample sizes
Definition

estimated d = estimated mean difference   

                    estimated stadard deviation

 

estimated d = M1-M2

                               

                      √sp2

Term
What is the formula for r2?
Definition

r2 = t2        

      t2 + df

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