TTest Paper Assignment Project
TTest Paper Assignment Project
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For this final assignment, you will write a paper in APA 6th edition styling. Your paper should have a title page, running head, references section, as well as a body section that is properly formatted. You can consult your APA manual and also look under “Files ► Course Documents” on Canvas for more information about formatting. A sample paper is provided for a visual demonstration. This paper should be no less than 8 pages long excluding the title page, abstract, and references page. You will need to conduct a ttest on the data to determine if the sample means are significantly different. After the data from Math Tasks Assignment is compiled, the data will be posted on Canvas. Think of a test with 100 math problems…There are two types of problems: addition and subtraction. Would you finish the test faster if you completed all of the addition problems first and all of the subtraction problems second? Is it more efficient to complete all of the addition problems first? If you switch back and forth between addition and subtraction, will the mental effort of ‘taskswitching’ actually slow you down? Or is simple math so easy that there will be no difference? The class experiment that we conducted intended to measure just that. We used a math task that could be completed in an organized fashion to minimize task switching (Task A), or a disorganized fashion (Task B) that required a task switch for every problem attempted. If there is no difference between switching tasks repeatedly, and completing the same problems in an organized fashion, then there should be no difference in the mean (average) completion times of our Task A and Task B samples. T tests are used to determine if the difference between sample means is significantly different or not. Using the class’s pooled data, you will conduct a ttest to compare the sample means of Task A and Task B. Then, you will write a paper that describes the experiment and analyzes the data. TTest Paper Assignment Project
OVERVIEW 1. Access the data in the excel file [DATASET.xlsx] → Pages section of Canvas… 2. You will need to find 3 journal articles that have relevance to our study, and cite information from those articles using intext citations (articles are provided for you Canvas). You need at least 2 relevant intext citations for each article. The intext citations should be bold in the color red. 3. You need to be able to analyze the data using a t test, and analyze patterns by comparing/reporting correlations. 4. Write a paper (APA 6th edition) that is at least 8 pages (10 including title/ref.)
INTRODUCTION TO PSYCHOLOGICAL RESEARCH – PAGE 2 OF 6 – ––––––T TEST–––––– When the data is compiled, you will use the completion times from each condition to complete the ttest worksheet after you print it out [TtestWorksheet6_.pdf]. The worksheet will walk you through a ttest with an alpha of .05 in one tail. This is because the research predicts that the results will occur in one particular direction. The data file [DATASET.xlsx] has a tab called “Ttest Calculation” that saves you the work of performing many computations. Be sure to check out this page before starting your ttest. In the Results section, please report the results of your ttest in the following way. You can copy and paste the text into your paper, just replace the results of your ttest where the #’s are. M represents ‘Mean’; SD represents ‘Standard Deviation’. The ttest tutorial [TtestWorksheet6_.pdf] will help you find these values. TTest Paper Assignment Project
REPORTING THE RESULTS OF AN INDEPENDENT‐MEASURES T TEST When tested using a 51‐item assessment containing addition, subtraction and multiplication problems, the task‐switching group completed problems [faster or slower] (M = ###.##, SD = ##.##) than the group that did not switch tasks repeatedly (M = ###.##, SD = ##.##). The results of an independent‐measures t‐ test indicate that the difference between sample means [was *OR* was not ‐ pick one] significant, t(df) = #.## (rounded to two decimal places), p < .05, one‐tailed. RED CIRCLE FROM T‐TEST TUTORIAL ORANGE CIRCLE FROM T‐TEST INTRODUCTION TO PSYCHOLOGICAL RESEARCH – PAGE 3 OF 6 – ––––––CORRELATION ANALYSIS–––––– Investigate and discuss patterns that are present in the data by looking at the correlation between our variables. Use the Critical Values of the Correlation Coefficient – Table R [In the back of your book] to find out whether the correlations are significant based on the df (degrees of freedom). Use a twotailed test with an alpha of .05. Critical values are based on degrees of freedom. Use the “Correlation Analysis” tab of the data file [DATASET.xlsx] to analyze the correlations. Check out the following combinations of variables: Age and completion time (does being older make people faster or slower?) Age and # incorrect Gender and completion time (are males faster than females) Gender and # incorrect Determine if the patterns present in our data match patterns present in the literature. For example, you may cite Reaction Time Literature Review by Robert J. Kosinski, and make a connection between factors affecting reaction time and whether those factors may have had an effect in our experiment. TTest Paper Assignment Project
REPORTING THE RESULTS OF CORRELATIONS (EXAMPLE) For Task A, the variables age and completion time were not stongly correlated r(df)= ‐.032, p< .05. Note: Degrees of freedom for correlations is calculated differently. It is the total number of paired scores minus 2. See your textbook for more information…
INTRODUCTION TO PSYCHOLOGICAL RESEARCH – PAGE 4 OF 6 – Abstract Create an abstract that concisely summarizes this study in 120 words or less. Introduction (Literature Review) Provide a brief background of the taskswitching literature relevant to this study by providing 12 intext citations from the literature (2 citations for each article used). These intext citations may be 1 sentence long and should be written in the color red (you do not necessarily have to read all of the articles in entirety from start to finish! Pull a relevant citation from each article). Emphasis should be placed on what they did, and their results; a connection should be made to our study in a predictive manner if necessary. Some keywords that may help you find relevant articles are: Task switching Cognitive Efficiency Multitasking Selective Attention Divided Attention Explain the hypothesis of this study. Explain what is expected to occur in this experiment based on the background literature. Clearly explain what the independent variable is, and what the dependent variable is. Make sure you include all necessary information for a thorough introduction. Method Participants In the first paragraph, explain the sampling process and how the entire class provided their own subjects for this experiment. What is the average age of all of the participants for each condition? How many males and females participated in each condition? Were these people randomly selected? In a second paragraph, describe YOUR subjects age and gender for each condition. Describe the testing environments. In what rooms did the tests take place? What times? Describe any other information you see fit. Materials and Procedure In one paragraph, describe the materials used for this experiment: pen/pencil, printed addition tasks, etc. Describe Task A and Task B to the reader, explaining the differences between the two, and similarities between the two. In another paragraph, explain your procedure. Where did you administer Task A and Task B? What time did you administer them? Did everything go smoothly, or did you. TTest Paper Assignment Project
INTRODUCTION TO PSYCHOLOGICAL RESEARCH – PAGE 5 OF 6 – have to deviate slightly from the procedure? Did the person interact with you during the test or did they sit quietly and remain focused? Did you stay in the room with the person during the test? Did anything unexpected occur? Did your subjects understand the directions? In another paragraph, explain 2 experimental controls that we utilized (For example, the same 51 mixedmath problems appear in Task A and Task B; by using the same 51 problems we can eliminate any alternative explanations that differences in the difficulty of the problems are causing a longer completion time). In yet another paragraph, explain if anything occurred that would threaten the validity of the test? Describe anything that happened that was not ideal and could have had an effect on the results. Why is it important for everyone to follow the same procedure? What would happen if everyone followed their own procedure, how could this affect the results? Results In one titled paragraph , discuss and compare the sample means for Task A and Task B. Is there a difference; is one higher than the other? Is the difference between means significant? Discuss the results of the t test, and what the conclusion of this study is. What was the critical t value? What was the obtained t value? Are the results significant? In a second titled paragraph, explain the results of your correlation analysis describing the information from above. Discuss the relationships between the variables and modify the following phrase to report each one: The variables Age and # Incorrect were [not/strongly] correlated, r(df) = .##, p<.05. Discussion In a final summative paragraph, discuss the implications of these results. Summarize the findings (Task switching had a negative effect on completion time because participants required more time to complete the math problems…etc.). Do you think practice would reduce the effect? Why? Provide a direction for new research, do you think task switching would have an effect on reaction time in any other task? Explain the background reasoning of why you think there is an effect. If there was no effect: Discuss reasons why you think there was no effect? What are some things we could change about the experiment to get stronger results? Are there any additional precautions we should take next time? Was the test too easy or too hard? (If there WAS an effect, then omit this section). Discuss the limitations of the study. Think of alternative explanations, confounding and third variables. Problems of the method/procedure, qualities of the sample, etc. INTRODUCTION TO PSYCHOLOGICAL RESEARCH – PAGE 6 OF 6 – References Properly cite all six references; some articles are provided for you online. TTest Paper Assignment Project

ttestworksheet6_.pdf
State the hypotheses & select an alpha level
H0: µA – µB = 0 H1: µA – µB ≠ 0
For the population there is NO difference between the groups.
For the population there IS a difference between the groups.
Identify the critical region. for the independent measures t statistic, Degrees of freedom are determined by:
df = nA + nB – 2 = = df
Consult the t – distribution table for a Onetailed test with:
The critical t values are: t =
Find the Pooled Variance
+ – 2 =
= +
= = S
²=
SSA + SSB dfp
= nA
+ s(xA xB)=
S² p S ² p
nB +
=
+
= =
t =
(XA – XB) – (µA – µB ) s(x
A – x
B )
= ( – ) – ( 0 )
= =
Make a decision about H0 using the obtained t value…
If the Absolute Value of the obtained t value is more than the critical value, Reject the null hypothesis and conclude that There is a significant effect…
Compare the RED circle and the PURPLE circle. Remove the negative/minus sign. If the # in the red circle is bigger than the number in the Purple circle, then your sample means are significantly different and there is an effect. If the purple circle is bigger than the red circle, then there is no effect!
α = .05
nA nB
Find the estimated standard error
Compute the test statistic…
t Test tutorial for two independent samples
MMXIV©MRSIII
PAGE 2
Sample A Sample B nA =
ΣX = ΣX² =
XA= ΣX n
=
SSA= ΣX²
(ΣX)² n
SSA =
s2= SSA
n – 1 =
s2= =
sA = =s2
XA= Find the mean for each sample
Find the Sum of Squares (SS)
FInd the Standard Deviation (SD)
¡Round to the Thousandths place!
= (
SSA )²
=
SSA
=
SSA
nB =
ΣX = ΣX² =
XB= ΣX n
=
SSB= ΣX²
(ΣX)² n
SSB =
s2= SSB
n – 1 =
s2= =
sB = =s2
XB= Find the mean for each sample
Find the Sum of Squares (SS)
FInd the Standard Deviation (SD)
¡Round to the Thousandths place!
= (
SSB )²
=
SSB
=
SSB
t Test tutorial
MMXIV©MRSIII
PAGE 1

dataset.xlsx
Available Data
TASK A TASK B TASK A TASK B Age Gender Completion Time # incorrect Age Gender Completion Time # incorrect Age Gender Completion Time # incorrect Age Gender Completion Time # incorrect FA 20 M 72 4 FA 20 F 128 2 SA 56 F 125 2 SA 63 M 105 0 JR 21 M 134 1 MM 34 M 195 5 HRB 17 M 126 0 HRB 16 M 140 0 E.B 21 M 80 0 E.B 23 M 84 0 RB 20 M 47 2 RB 24 M 92 0 MC 21 M 41 0 MC 16 F 64 2 SC 25 F 268 13 SC 16 F 225 2 EC 21 F 218 0 EC 21 F 239 0 EC 18 M 100 2 EC 21 F 137 7 EC 18 M 100 2 EC 21 F 137 7 DC 21 F 283 2 DC 20 M 194 4 JC 21 F 103 0 JC 21 F 118 0 KD 18 M 226 1 KD 18 M 86 0 AD 19 F 232 2 AD 21 M 259 3 MO 21 F 138 1 MO 21 F 130 4 MF 23 F 72.87 13 MF 23 F 105.3 9 ML 22 F 132 0 ML 21 F 88 1 L.L. 20 F 176 0 L.L. 21 F 149 1 K.L. 17 F 82 1 K.L. 24 M 171 2 AM 16 F 73 2 AM 17 F 140 1 JO 22 M 307 4 JO 23 F 165 0 RE 19 F 107 4 RE 19 F 153 0 KP 21 F 85 3 KP 24 M 148 0 MP 19 M 135 2 MP 21 F 145.2 4 GR 19 M 90 1 GR 19 M 73 0 RR 20 M 68 0 RR 19 F 181 0 JS 17 F 73 6 JS 19 F 86 2 Correlation between completion time and age Correlation between completion time and age 0.0787334874 0.061782893 Scatter plot of Time & Age
20 56 21 17 21 20 21 25 21 18 18 21 21 18 19 21 23 22 20 17 16 22 19 21 19 19 20 17 72 125 134 126 80 47 41 268 218 100 100 283 103 226 232 138 72.87 132 176 82 73 307 107 85 135 90 68 73Age in years
Completion times in milliseconds
Scatterplot of Time & Age
20 63 34 16 23 24 16 16 21 21 21 20 21 18 21 21 23 21 21 24 17 23 19 24 21 19 19 19 128 105 195 140 84 92 64 225 239 137 137 194 118 86 259 130 105.3 88 149 171 140 165 153 148 145.19999999999999 73 181 86Age in years
Completion times in milliseconds
Ttest Calculations
TASK A TASK B Completion Time Completion Time X X² X X² 72 5184 128 16384 125 15625 105 11025 134 17956 195 38025 126 15876 140 19600 80 6400 84 7056 47 2209 92 8464 41 1681 64 4096 268 71824 225 50625 218 47524 239 57121 100 10000 137 18769 100 10000 137 18769 283 80089 194 37636 103 10609 118 13924 226 51076 86 7396 232 53824 259 67081 138 19044 130 16900 72.87 5310.0369 105.3 11088.09 132 17424 88 7744 176 30976 149 22201 82 6724 171 29241 73 5329 140 19600 307 94249 165 27225 107 11449 153 23409 85 7225 148 21904 135 18225 145.2 21083.04 90 8100 73 5329 68 4624 181 32761 73 5329 86 7396 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ΣX ΣX² ΣX ΣX² 3693.87 633885.0369 3937.5 621852.13 Input this information into the T Test tutorial worksheet… Correlation Analysis
Variable A Variable B 1 1 2 2 3 3 Pearson Product Moment correlation Standard Deviation Sample A 4 4 ERROR:#DIV/0! ERROR:#DIV/0! 5 5 6 6 Degrees of Freedom Standard Deviation Sample B 7 7 2 ERROR:#DIV/0! 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 INSTRUCTIONS 26 26 Copy and paste the data that you intend to analyze in to the Variable A & B columns. You can see the patterns in the scatterplot above. 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 MMXIV©MRSIII 35 35 36 36 37 37 38 38 39 39 40 40 41 41 42 42 43 43 44 44 45 45 46 46 47 47 48 48 49 49 50 50 51 51 52 52 53 53 54 54 55 55 56 56 57 57 58 58 59 59 60 60 61 61 62 62 63 63 64 64 65 65 66 66 67 67 68 68 69 69 70 70 Variable A Variable B Scatterplot of Correlation Data
Variable BSAMPLE A (XAxis)
SAMPLE B (YAxis)
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