12 Explain why the following statement is true, or provide a counter-example: A receiver-operator characteristic curve, which plots the Type I error of a test against the Type IIerror from that same test, always slopes downward. See Figure 12.8(b) for an exampleof this kind of curve.(a) Five possible thresholdsDensitybad drugsWIKgood drugsB(b) Receiver-operator characteristic(ROC) curveType I errorT3Type II errorT₁T₂T3TATFigure 12.8. Adjusting the rejection threshold creates a tradeoff between Type I error and Type II error. (a) Five possiblethresholds. (b) Receiver-operator characteristic (ROC) curve.

First talk about the type-I , type-II and ROC curve. The error committed in rejecting the null…

Answered: 12 Explain why the following statement…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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Suppose I'm using chi-square analysis to determine the relationship, if any, between a pair of categorical variables. How should I interpret the results if I get a significant chi-square statistic but see that the high value is driven essentially by only a couple of cells in the crosstab? Is there a better way to proceed to get an imnproved understanding of what's going on? Thanks.
The nutritionist wants to study whether the mean change in triglyceride level of the clients differs among the three meat diets. She then asked your statistical advice considering that you have enough knowledge that using a parametric test specifically the F-test in Analysis of Variance (ANOVA) can answer her objective. Using R Commander, the following results for the test of the assumptions were generated.(a) Will chicken satisfy the normality assumption? Will pork satisfy the normality assumption? Will fish satisfy the normality assumption? (b) describe the skewness of the plot in chicken, fish and pork
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2. Consider the headline, “Pok ́emon trainers who use water type Pok ́emon aremore likely to win battles than trainers who use fire type Pok ́emon.” (a) What are the variables and what are the cases in the above headline? (b) Label each variable as categorical or quantitative. (c) Which variable is the explanatory variable and which is the responsevariable (if applicable
How do I find the degrees of freedom?
(a) Show that the significant value of t at level of significance a for one-tailed test is equal to that of t at 2a significance level for two-tailed test.
Ophthalmology The following data are from a study on Botox injections. Patients received a high-dose injection in one eye (experimental treatment = treatment E) and a low-dose injection in the other eye (control treatment = treatment C). Patients were asked to rate the level of pain in each eye on a 1-10 scale, with higher scores indicating more pain. The assignment of treatments to eyes was randomized. The subjects came back over several visits. Data from the last visit are given in the table below. Effect of Botox injection on eye pain Subject 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Pain score at the last visit Pain in E eye Pain in C eye 1.3 7.3 0.0 0.0 3.0 0.0 3.5 0.0 0.0 2.0 0.0 3.0 5.0 0.3 0.0 4.3 USE SALT 8.7 1.4 0.9 9.6 7.9 9.1 5.1 2.2 2.6 7.9 4.4 4.6 9.1 7.4 0.4 0.7 UNİ TANTE ELANIKE Cunnnen win wich to compare the nain score in the E eve vs. the pain score in the C eye.
The table below is from a study called “The Epidemiology of Social Stress.” The researchers in this study conduct a series of statistical tests to shed light on the association between social status variables (IVs) and depression (DVs). The left-hand column shows the tests for mean depressive symptom scores (Number of symptoms reported [range:0-50], higher levels indicate higher number of reported depressive symptoms) by sex, age, marital status, and occupational prestige. The right-hand column shows the tests for prevalence of major depressive disorder (has major depression=1; does not have major depression=0), broken down by sex, age, marital status, and occupational prestige. Examine the table and answer questions a)At alpha=.05, what can you conclude about the association between marital status and mean depressive symptom scores? Briefly summarize the findings, and provide a plausible, logical explanation (theory) for the observed association (or lack thereof). b)At alpha =.001,…
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2. A case-control (or retrospective) study was conducted to investigate a relationship between the colors of helmets worn by motorcycle drivers and whether they are injured or killed in a crash. Results are given in the table below (based on data from “Motorcycle Rider Conspicuity and Crash Related Injury: Case-Control Study”, by Wells et al., BMJ USA, Vol. 4). 1. Test the claim that injuries are independent of helmet color, using chisq.test function in R at a 0.05 significance level. Please state the hypothesis, present a screenshot of the R output for this test, and provide your conclusion in the context of the problem. 2. Should motorcycle drivers choose helmets with a particular color? If so, which color appears best? Provide your justification.

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