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27 Cards in this Set

  • Front
  • Back

Measures of Central Tendency





Define Mode, Median, an Mean



Mode = The most commonly occurring score



Median =Represents the 50% in a ranked distribution of scores; that is, that point at which 50% of the numbers fall above and below.



Mean = computed by summing the values of each observation and dividing by the number of observations

15, 2, 23, 7, 18, 13 , 9, 23, 8, 16, 27, 28, 4, 12, 24, 12, 18, 18, 14, 6, 15, 15, 31, 15, 15



1) What is the mode, median, mean?

Mode 15



Median 15



Mean 15.68

15, 2, 23, 7, 18, 13 , 9, 23, 8, 16, 27, 28, 4, 12, 24, 12, 18, 18, 14, 6, 15, 15, 31, 15, 15



What measure of central tendency would be the best estimate of this data and why?

Mean - because there are no outliers.

1) What is the range? 29



2) What is the hinge?



3) What are the hinge positions (lower and upper)?

1) 29



2) the median of the high and low


portions of a data set



3) 12, 18

.


1) What is the midrange?



2) What is the low range?



3) What is the high range?

1) 16.5



2) 13



3) 16

Provide definitions/explanation for the following terms:



1a) null and 1b) alternative hypothesis,


2) significance level,



3) directional hypotheses,

1a) hypothesis being tested (1b) the accepted hypothesis if the null hypothesis is rejected



2) probability of a false rejection of the null hypothesis / Type I Error



3) hypothesis that specifies whether the prediction will have "+" or "-" correlation


Provide definitions/explanation for the following terms:



1) non-directional hypotheses,,



2) one-tailed and two-tailed tests,



3) Two tailed test

1) hypothesis used to prove (or disprove) that changing one variable has an effect on another variable



2) A test based on a directional H1, in which critical values are obtained for only 1 tail of a distribution



3) A test based on a nondirectional H1, in which critical values represent both positive and negative tails of a distribution

Provide definitions/explanation for the following terms:



1) significant testing,



2) Critical Value (alpha),



3) reject the null,

1) testing to derive if there is a significance between two groups of data



2) point in the data set which is considered significant when reached



3) accepting the alternative hypothesis (happens when critical value of a data set is reached or surpassed

Provide definition/explanation for the following term



1) retain the null



2) p-value



3) calculated value,

1) critical value not reached; acceptance of the null



2) probability that a number will be selected at random



3) number derived from computational procedures

A psychologist has been studying the effects of deterioration of memory over time. She has been interested in how memory for particular startling events, called flashbulb memories, might differ from memory for everyday events. She asked college students to try to remember all the circumstances of an ordinary event to fill out a survey about the details of the event. She knew from vast amounts of prior research that the average proportion of details accurately remembered 1 year later is .85 with a standard deviation of .04. When the Persian Gulf War began in January 1991, she asked students to do the same task of filling out the survey about the details of the beginning of the bombing. She thought that the proportion of details remember 1 year later would be higher. The following are the proportions correct for 22 students:


.81 .65 .93 .78 .79 .87 .86 .83 .87 .85 .77 .86 .80 .81 .82 .83 .87 .85 .85 .84 .83 .90
_ _
µ = .85 X = .83 Zx = -0.5
σ = .04 S = .06
N = 22

A psychologist has been studying the effects of deterioration of memory over time. She has been interested in how memory for particular startling events, called flashbulb memories, might differ from memory for everyday events. She asked college students to try to remember all the circumstances of an ordinary event to fill out a survey about the details of the event. She knew from vast amounts of prior research that the average proportion of details accurately remembered 1 year later is .85 with a standard deviation of .04. When the Persian Gulf War began in January 1991, she asked students to do the same task of filling out the survey about the details of the beginning of the bombing. She thought that the proportion of details remember 1 year later would be higher. The following are the proportions correct for 22 students:


.81 .65 .93 .78 .79 .87 .86 .83 .87 .85 .77 .86 .80 .81 .82 .83 .87 .85 .85 .84 .83 .90
_ _
µ = .85 X = .83 Zx = -0.5
σ = .04 S = .06
N = 22

a. What is the IV?



b. What is the DV?



c. What is the null hypothesis?



d. What is the alternative hypothesis?



e. What are you testing?

a. Memory Event



b. What the students remember



c. Ho: µ = x



d. H1: µ ≠ x



e. If traumatic events has a significant change in memory retention.

f. Is this a directional or nondirectional hypothesis, and is it going to be tested using a one or two tailed test?



g. What is the calculated value? What is the critical value?


f. nondirectional, two tailed



g. p= 0.1135, t= 1.6517

h. Using alpha at .05 (95% confidence), draw conclusion – which means deciding whether to reject the null or retain the null. Please draw this out (using a bevel shaped curve)
indicating the area on the distribution the rejection region and the retaining region.


<1.65 retain null


region 


 


 


≥1.65 reject null region


 


 

<1.65 retain null


region




≥1.65 reject null region



i. If you had to explain the results to a friend who does know statistics, what would you say?

There aren’t any significant factors relating to traumatic and non traumatic events contributing to memory retention

What type of error did we probably make in the question above, type I or type II??? To answer this review the section about power.

Type II (False negative)

Give ways to increase power. What variables influence power?

change the alpha level (a 0.15 α will make p < α; this will reject the null)

Define:



a) Independent t-test: aka ___????_____,



b) Dependent t-test: aka ___????_____,



*** t-test measures what kind of data?



c) Descriptive statistics:


a) aka unpaired t-test- testing two variables using two different samples



b) aka paired t-test- testing two variables using the same sample



*** t-tests measures ratio and interval data



c) Using measures of central tendency of mean, mode, and median to measure data



Define:




d) Chi square test:



e) ANOVA:

d) measures nominal and ordinal data



e) used to measure three or more levels of IV

Be able to identify the IV , DV, and choose the appropriate statistical test for each study from the list below.

Be able to identify the IV , DV, and choose the appropriate statistical test for each study from the list below.

1. The researcher wanted to know if individuals in different relationship stages: single, casual dating, serious dating and married would differ on their relationship satisfaction and trust.


1.



IV: relationship stage
DV: satisfaction and trust
ANOVA

2. A research wants to know the difference between males and females on their level of verbal aggression (verbal aggression (VA) is measure by Infante’s 20 item Likert-type scale)


2.



IV: gender
DV: VA
Indep. t-test

3. A group of students were asked to watch a violent TV show. Students were asked to fill out the measure of verbal aggression (VA) to assess their levels of VA prior to watching the TV show and then again after watching the TV show. Researchers want to determine if there is a difference between these students’ VA before and after the TV show.


3.



IV: TV show
DV: VA
Depen. t-test

4. Males and females were also asked to rate their preference of 10 TV shows from like the most to like the least. Then researchers want to know if men and women differed on their preference of TV shows.


4,



IV: Males and Females
DV: TV shows
Chi-square

5. Females were asked to indicate what type of movie they preferred: Horror, Romance, Comedy, or Action. Researchers wanted to know if females significantly differ on their preference of movies.


5.



IV: Females
DV: Type of movie
Descriptive

6. Researchers wanted to know if certain age groups preferred certain movies. Therefore, researchers asked participants their age – 0-12 = children; 13-24 adolescence; 25-36; younger adults; and then asked them which movie they preferred: Horror, Romance, Comedy, or Action (the researcher coded children as 3, adolescence as 2 and younger adults as 1).


6.



IV: Age groups
DV: movie preference
ANOVA

7. Researchers then took these three age groups (in question 6) and randomly assigned them to two groups – horror film and a non-horror film. Then subjects were asked to give their opinions/attitude on the movie (like-dislike). The researchers wanted to see if attitudes towards horror films would differ depending on subjects’ age and what type of movie they viewed.

7.



IV: age is quasi IV
DV: preference
This is a 3x2 factorial design so it could have multiple answers- It could basically be ANOVA but in other cases it can be Indep. t-test when looking at the movie catergories or a Depend. t-test when looking at the age group


3x2 Factorial


Children / Adolescence / Yng Adlt
Horror C/H A/H YA/H
Non-Hrr C/NH A/NH YA/NH

8. Finally, researchers wanted to determine whether or not the medium of a story (the way in which it is presented to a person) would influence their attitude towards the story. Therefore, researchers randomly assigned subjects into three groups:


Group one – read the book “Tuesdays with Morrie.”
Group two – watched the movie “Tuesdays with Morrie.”
Group Three – heard the audio-version of the book “Tuesday with Morrie.”



Then, each group was asked to fill out a 20 item semantic-differential scale to assess their
attitude towards the story “Tuesday with Morrie.”

8.



IV: medium
DV: attitude toward medium
ANOVA