3. The model for a full factorial 24 experiment is: y = 54 13x1 +14x2 + 52x3 - 19x4 + 2x12 - 6x13+5x14 1x23+5x24 8x34 where the coefficients shown are the parameters. If a 24-1 experiment was built with gener- ator 4123, then what terms could be modeled and what would the coefficients become?
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- A researcher would like to use a factorial study to compare two programs designed to help people stop smoking. The smoking behavior of each participant will be measured at the beginning of the program, at the end of the program, and again 4 months after the program has ended. Thus, the two treatment program make up one factor, three measurement times make up the second factor. For this study, which factor (s) should be between subjects and which should be within subjects?An experimenter was interested in the effects of three types of therapy and gender on a measure of quality of life. She designed the experiment so that the male subjects were randomly assigned to the different therapies and the female subjects were also randomly assigned to the different therapies. The type of therapy was experimentally manipulated and after six months the outcome was measured. A two-factor design was used. How many independent variables are there in this design? Name each factor (using appropriate descriptors from the paragraph) How many total groups (cells) are there in this design? Name the dependent variable:Give me an example of a single factor design and an example of a factorial design. Provide the independent variable (IV) with its levels and dependent variable (DV) for the single factor design and the independent variables with their levels and DV for the factorial design
- A full 25 factorial design was used in this experiment. Suppose that this experiment had been run in two blocks with ABCDE confounded with the blocks. Set up the blocked design and perform the analysis. Data: A B C D E Response -1 -1 -1 -1 -1 8.11 1 -1 -1 -1 -1 5.56 -1 1 -1 -1 -1 5.77 1 1 -1 -1 -1 5.82 -1 -1 1 -1 -1 9.17 1 -1 1 -1 -1 7.8 -1 1 1 -1 -1 3.23 1 1 1 -1 -1 5.69 -1 -1 -1 1 -1 8.82 1 -1 -1 1 -1 14.23 -1 1 -1 1 -1 9.2 1 1 -1 1 -1 8.94 -1 -1 1 1 -1 8.68 1 -1 1 1 -1 11.49 -1 1 1 1 -1 6.25 1 1 1 1 -1 9.12 -1 -1 -1 -1 1 7.93 1 -1 -1 -1 1 5 -1 1 -1 -1 1 7.47 1 1 -1 -1 1 12 -1 -1 1 -1 1 9.86 1 -1 1 -1 1 3.65 -1 1 1 -1 1 6.4 1 1 1 -1 1 11.61 -1 -1 -1 1 1 12.43 1 -1 -1 1 1 17.55 -1 1 -1 1 1 8.87 1 1 -1 1 1 25.38 -1 -1 1 1 1 13.06 1 -1 1 1 1 18.85 -1 1 1 1 1 11.78 1 1 1 1 1 26.05A 2 X 3 factorial design has two variables that divide the groups. six variables that divide the groups. hree variables that divide the groups. "could be any of the above, depending on the number of measured variables"The number of flaws in a 1-inch length of copper wire manufactured by a certain process varies from wire to wire. Overall, 48% of the wires produced have no flaws, 39% have one flaw, 12% have two flaws, and 1% have three flaws. Let ? be the number of flaws in a randomly selected piece of wire. Then ?(?=0)=0.48, ?(?=1)=0.39, ?(?=2)=0.12, ?(?=3)=0.01. Let ?(?) denote the cumulative distribution function for the random variable ? that represents the number of flaws in a randomly chosen wire.a. Find ?(2).b. Find ?(1.5).c. Determine the cumulative distribution function ?(?). Hint: your answer should be a piecewise function with the following categories: ??<0, 0≤??<1, 1≤??<2, 2≤??<3, ??≥3.d. Plot ?(?).
- F1.6 Question 15 on paper pleaseHow do I do this on a ti84 plus?A dairy farmer thinks that the average weight gain of his cows depends on two factors: the type of grain that they are fed and the type of grass that they are fed. The dairy farmer has four different types of grain from which to choose and three different types of grass from which to choose. He would like to determine if there is a particular combination of grain and grass that would lead to the greatest weight gain on average for his cows. He randomly selects three one-year-old cows and assigns them to each of the possible combinations of grain and grass. After one year he records the weight gain for each cow (in pounds) with the following results. Is there sufficient evidence to conclude that there is a significant difference in the average weight gains among the cows for the different types of grain? Cow Weight Gain (Pounds) Grass A Grass B Grass B Grain A 359359 327327 232232 277277 250250 163163 191191 304304 216216 Grain B 331331 348348 176176 318318 205205…
- A dairy farmer thinks that the average weight gain of his cows depends on two factors: the type of grain that they are fed and the type of grass that they are fed. The dairy farmer has four different types of grain from which to choose and three different types of grass from which to choose. He would like to determine if there is a particular combination of grain and grass that would lead to the greatest weight gain on average for his cows. He randomly selects three one-year-old cows and assigns them to each of the possible combinations of grain and grass. After one year he records the weight gain for each cow (in pounds) with the following results. Is there sufficient evidence to conclude that there is a significant difference in the average weight gains among the cows for the different types of grain? Cow Weight Gain (Pounds) Grass A Grass B Grass B Grain A 163163 287287 305305 267267 304304 325325 198198 348348 172172 Grain B 338338 291291 223223 286286 168168…In an experiment examining human memory, two groups of participants are used. One group is allowed 5 minutes to study a list of 40 words and the second group is given 10 minutes of study time for the same list of words. Then, both groups are given a memory test, and the researcher records the number of words correctly recalled by each participant. For this experiment, identify the independent variable and the dependent variable.If you eliminate one of the four factors with a half factorial screening experiment followed by running a full factorial experiment on the remaining three factors, how many experiments are saved compared to running a full factorial experiment for all four factors? answer is not 8…