Writing Assignment 4
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Binghamton University *
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Statistics
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Feb 20, 2024
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1.
Read the Abstract for the following article by Newman et al. (2012): https://link.springer.com/article/10.3758/s13423-012-0292-0
, then answer the following questions about their Experiments 1A/1B: a. (
2 points
) Describe the factorial
design that
was used in these experiments, including how many IVs there were, what the levels of these IVs were, and whether each IV was manipulated within-subjects or between-
subjects.b. (2 points) List the possible effects
that could be found in this sort of experimental design. A.
They used a 2x2x2 factorial design so there are 3 IVs (photograph, familiarity, and claim) each with 2 levels (photograph: yes or no, familiarity: familiar, unfamiliar, claim: alive or dead). The photographs and familiarity were manipulated within-subjects, and the claim was manipulated between-subjects. B.
The main effects of photograph, familiarity, and claim.
Interaction effects: photograph x familiarity, familiarity x claim, photograph x claim, photograph x familiarity x claim 2.
(2 points)
Explain what the terms central tendency
and variability
refer to in the context of descriptive statistics. What two statistics do psychologists typically report to communicate each of these pieces of information about any variable they have measured?
-
Central tendency and variability are used to describe the data that was collected in
a sample or provide a summary for a set of data. The two statistics that psychologists typically report are the mean and the standard deviation to communicate the central tendency and variability.
3.
(4 points)
Find a recent news article from any major news outlet (e.g., NY Times, Washington Post, CNN, BBC, NPR, Bloomberg, etc.) in which a descriptive statistic
of some kind is presented. Provide a link to this article and copy and paste the passage from this article in which a descriptive statistic is presented (using quotation marks). Answer the following: What information does this statistic communicate? Do you think the statistic itself and the way in which it is interpreted by the author of the article are appropriate and accurate, or potentially misleading? How so?
-
“For each of the last three years there have been more than 600 mass shootings - almost two a day on average.” (
https://www.bbc.com/news/world-
us-canada-41488081
)
-
This statistic “average” (mean) communicates that each day there are most likely 2 mass
shootings. I believe the way this statistic is interpreted is very accurate and appropriate
for this particular news article because it really shows how common mass shootings are and it makes the reader feel scared like it is supposed to.
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Whole world
m= 77.3
ss= 336.1
Phonics
m= 89
ss= 266
1. Use a two tailed test with alpha= .01 to determine whether these data are sufficient to conclude that there is a significant difference between using the whole word and the phonics approach to reading.
2. Compute cohen's d to measure the size of the effect.
3. Which method would you reccomend that the school district adopt for teaching reading and why?
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Cloud seeding has been studied for many decades as a weather modification procedure (for an interesting study of this subject, see the
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17.0, 29.7, 18.8, 26.1, 21.3,
17.8, 30.8, 22.4, 20.2, 26.9.
30.9, 26.1, 24.0, 23.7, 25.9.
20.8, 28.2, 33.8, 25.7, 30.6
(a) Can you support a claim that mean rainfall from seeded clouds exceeds 24.0 acre-feet? Use a = 0.01.
There is
V evidence to indicate that the true mean rainfall is greater than 24.0 acre-feet at a = 0.01.
(b) Compute the power of the test if the true mean rainfall is 26.0 acre-feet.
i
Round your answer to one decimal place (e.g. 98.7).
(c) What sample size would be required to…
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This problem is based on information taken from The Merck Manual (a reference manual used in most medical and nursing schools). Diltiazem is a commonly prescribed drug for hypertension. However, diltiazem causes headaches in about 11% of patients using the drug. It is hypothesized that regular exercise might help reduce the headaches. If a random sample of 206 patients using diltiazem exercised regularly and only 17 had headaches, would this indicate a reduction in the population proportion of patients having headaches? Use a 1% level of significance.
(a) What is the level of significance?State the null hypothesis
H0
and the alternate hypothesis
H1
.
H0
: p
H1
: p (b) What sampling distribution will you use?
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From these average within-cluster distances, which cluster is the most homogeneous?
Question 3 options:
Cluster 1
Cluster 2
Cluster 3
Cluster 4
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A source table has the following information: Three treatment conditions with a sample of n =7 participants in each treatment. You know SS(BW) = 20 and MS(WI) = 2. What is the missing value for MS(BW)?
Answer choices: 40, 10, 2, 5
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Answer choices: 74, 54, 30, 22
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Answer choices: 30, 29, 24, 20
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SHAFTS graves in ancient Greece, Exercise 2.60 (p. 61). The num-
ber of sword shafts buried at each of 13 recently discovered
grave sites is reproduced in the following table.
1 2 3 1 5 6 2 4 1 2 4 2 9
Source: Harrell, K. "The fallen and their swords: A new explanation for the
rise of the shaft graves." American Journal of Archaeology, Vol. 118, No. 1,
January 2014 (Figure 1).
a. Calculate the range of the sample data.
b. Calculate the variance of the sample data.
c. Calculate the standard deviation of the sample data.
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older conducted in 1999 and 2000. The table below reports the number of observations of Hispanic and
non-Hispanic women who had received a mammogram in the past 2 years cross-classified with marital
status.
Marital Status
Currently Married
Divorced or Separated
Widowed
Never Married or Living As an
Unmarried Couple
Total
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319
130
88
41
578
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329
402
95
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459
490
136
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Mini-
Subject Wright
Meter
1
2
3
4
5
6
7
8
9
512
430
520
428
500
600
364
380
658
Wright
Meter
494
395
516
434
476
557
413
442
650
Subject
10
11
12
13
14
15
16
17
Mini-
Wright
Meter
445
432
626
260
477
259
350
451
Wright
Meter
433
417
656
267
478
178
423
427
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