1.- Consider an experiment with two factors: Instructors (3 levels) and Teaching Methods (2 level...
Problem 3. (30pts) Two methods for teaching reading were applied to two randomly selected groups of elementary school children and then compared on the basis of a reading comprehension test given at the end of the learning period. The sample means and variances computed from the test scores are shown in the accompanying table. Method I Number of children in group11 64 52 Method II 14 69 71 Do the data present sufficient evidence to indicate a difference in the...
A child development specialist is studying the effect of teaching method on standardized test scores of 5th graders. Two teaching methods (method A and B) are being evaluated. Eight primary schools are randomly selected from all the primary schools in the state which have at least three fifth grade classes. Four of the eight schools are randomly chosen to use teaching method A while the remaining four schools use method B. At the end of the school year, two fifth...
The following two-way table gives data for a 2 × 2 factorial experiment with two
observations
per factor-level combination: The data are saved in the LM.TXT file. Factor B
Level 1 2
Factor A 1 29.6, 35.2 47.3, 42.1
2 12.9, 17.6 28.4, 22.7 a. Identify the treatments for this experiment. Calculate and plot the treatment means, using
the response variable as y-axis and the levels of factor B as the x-axis. Use the levels of
factor A as plotting symbols. Do...
The results of a two-factor, independent-measures, equal n experiment are summarized in the following matrix. The numerical value in each cell is the mean score obtained from the sample in that treatment condition B B2 А M=4 M-2 M- Az M = 6 M-8 ME M M Compute the overall means for the scores in A, the scores in Az, the scores in B, and the scores in B2. Enter each of the means to the right of the appropriate...
2. An experiment was run in a semiconductor fabrication plant in an effort to increase yield. Five factors, each at two levels, were studied. The factors (and levels) were A aperture setting (small, large), B-exposure time (20% below nominal, 20% above nominal), C-development time (30s, 45s), D mask dimension (small, large), and E: etch time (145min, 15.5min). The unreplicated 25 design shown below was run. b 34 bd 32 be 35 bde 30 ab 55 abd 50 abe 52 abde...
A study of reading comprehension in children compared three methods of instruction. The three methods of instruction are called Basal, DRTA, and Strategies. Basal is the traditional method of teaching, while DRTA and Strategies are two innovative methods based on similar theoretical considerations. The READING data set includes three response variables (posttests) that the new methods were designed to improve. Analyze The Posttest 2 score using ANOVA. a. What is the response variable? Method of instruction Traditional teaching method Innovative...
Lesson: -Factorial designs have more than one independent variable or factors. -A two way factorial design has two independent variables, a three-way factorial design has three independent variables and so forth. -A 2x2 design has two factors and two levels of each. -A 2x3 design also has two factors but one has two levels and one has three. -A 3x3 design has two factors and each factor has 3 levels. Each example has 2 independent variables or factors. Comparison of...
Level 3 Level 1 Level 2 Factor HCL (dominant) Only Two Levels are Chosen Pre-Treatment H2504 220 C 200"C Treating Temperature Treating Method 190°C Soak Ethanol H20 Alcohol Additive Result Exp# 10 10 15 13 16 Assume Larger is better. Plot the factor effects by Graphical Analysis (Upload your graph as a POF) Attach File Colection Browse My Computer Browse Content
Level 3 Level 1 Level 2 Factor HCL (dominant) Only Two Levels are Chosen Pre-Treatment H2504 220 C 200"C...
Consider the following data for a two-factor experiment as shown to the right. Complete parts a through c Factor A Level1 Le Level 3 34 31 34 25 Level 2 34 27 21 Level 1 45 Factor B 31 27 25 19 b. Based on the sample data, can you conclude that the levels of factor A have equal means? Test using a significance eve o o.05 Choose the correct hypotheses below. HA: At least two levels of factor A...
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(10 marks 2+2+2+1+3) Two methods of teaching reading were applied to two randomly selected groups of children and then compared on the basis of a reading comprehension test given at the end of the period of instruction. Summary statistics are shown in the table below. 2 Method A 64 52 Method B 69 Test Ho : ?,-On against Ha :o, <o,, by answering the questions that follow. Put only final...