**Instructions: **

This assignment is meant to be done predominantly by hand, with an R component towards the end.Read through the scenarios and all of the questions before you answer anything. Then answer the questions, write your answers in the spaces provided, and upload your responses to the Blackboard drop box as a PDF or MSWord file. Round all answers to 2 decimals, and p values to 3 decimals

**Scenario:** Based upon the work of Elizabeth Loftus, a researcher was interested in testing the most effective way to implant false memories in people. First, she had all subjects watch a 60 minute movie. Then she randomly assigned these subjects to one of four conditions, each of which used different assessment techniques to influence subjects to think they saw something that didn’t actually occur. Condition A utilized falsified photos, condition B utilized falsified video, condition C utilized misleading narrative, and condition D was a control group with no intervention at all. The data below shows how many false memories subjects in each condition ‘remembered’.

**Condition A: { xA} = (4,8,6,6,5,9)**

**Condition B: { xB} = (9,10,7,9,11,7)**

**Condition C: { xC} = (2,1,2,2,4,3)**

**Condition D: { xD} = (0,2,1,1,0,3)**

__You should complete the following worksheets to help you find the correct answers, however, marks for the worksheet will only be allotted to the highlighted __**________ answers**

**Question 1a: Solve for the Grand Mean (GM or ********gm ) [1 mark total]**

******gm = _________**

**Question 1b: Solve for each _________ below [ 4 marks total]**

Also read: Aspects of Long-term care/ Memory care facilities

Falsified Photos | ||

XA | XA – gm | (XA – gm)2 |

4 | ||

8 | ||

6 | ||

6 | ||

5 | ||

9 | ||

∑(XA – gm)² = _________ | ||

A = _______ | ||

Falsified Videos | ||

XB | XB – gm | (XB – gm)2 |

9 | ||

10 | ||

7 | ||

9 | ||

11 | ||

7 | ||

∑(XB – gm)² = _________ | ||

B = _______ | ||

Misleading Narrative | ||

XC | XC – gm | (XC – gm)2 |

2 | ||

1 | ||

2 | ||

2 | ||

4 | ||

3 | ||

∑(XC – gm)² = _________ | ||

C = _______ | ||

Control Group | ||

XD | XD – gm | (XD – gm)2 |

0 | ||

2 | ||

1 | ||

1 | ||

0 | ||

3 | ||

∑(XD – gm)² = _________ | ||

D = _______ | ||

**Question 1c: Solve for each _____ [3 marks total]**

**SStotal = ∑(X-********gm)²** =__________+ ___________+____________ + ____________= **__________**

**SSgroup = n∑(**

****

**–**

****

**gm)²**=__________+ ___________+____________ +____________=

**__________**

**SSerror = SStotal – SSgroup** = __________- ______________ = **__________**

**Question 1d: Solve for each _____ [6 marks total]**

Source | SS | df | MS | F |

Group | _____ | _____ | _____ | _____ |

Error | _____ | _____ | _____ | |

Total | _____ | _____ |

Helpful Equations For Question 4 | |

**Question 1e: [6 marks]**

What is the critical value of *F* at α = 0.05? **________**

Based on your findings from Question 4, can we reject the null hypothesis? Explain why, and report on these findings using the format below.

*EXAMPLE FORMAT: Fill in the […]s with your own words.*

We [can/can not] reject the null hypothesis. There [is/is not] a significant difference in [DV scores] between [the IV conditions], [insert APA formatted df, F and p value here].

**Question 1f: [2 marks]**

Perform this same One-Way Anova with R, using the data file ‘Ass4Datalong.txt’, and following the Lab demonstration and instructions precisely. Create and name your data frame with your first initial followed by the first 4 letters of your last name, all in capitals (e.g., if your name is Lois Griffin your data frame will be called LGRIF). Remember, the data is formatted differently for R than it is when we do calculations by hand, but your answers should be very similar. Copy and paste your R syntax and output to the end of this document. What is your APA formatted df, F and p value, according to the R output?

**Question 1g: [2 marks]**

Perform a Tukey test, either with R, or by hand, to see which groups are actually different.

Which groups are actually significantly different?

Include your HSD value here if you did the Tukey by hand, or if you did it with R, paste your R syntax and output to the end of this document.

**Question 2: [6 marks)**

Below is a TWO-WAY Factorial Summary Table. Calculate and insert the missing values.

**TWO-WAY Factorial Summary Table**

Source SS *df* MS *F p*

__________________________________________ (SS/df)___________________________________

Rows 1918.50 2 _____? 9.25 0.015

Columns 21.33 1 21.33 _____? 0.665

Interaction (R*C) _____? _____? 280.58 2.71 0.145

Error 622.00 6 _______?

________________________________________________________________________________

Total 3123.00 11

Which F values are actually significant? _______________________________________________

**Total = 30**