Reference no: EM13237122
Consider the following study to investigate the effect of temperature and wetness period on the appearance of disease lesions. This experiment was done in growth cabinets, and only one temperature could be applied to each whole cabinet. The temperatures considered are 10°C, 15°C and 20°C. As only three cabinets were available at any one time, the experiment had to be repeated in order to get replication and so it was done three times, using different temperatures in each cabinet every time. Each run is considered as a separate replicate, labeled Block, and the cabinets within each experiment act as the whole plots. Within each cabinet, four wetness periods (16, 24, 48 or 72 hours) were applied to trays each containing 12 small plants. The allocation of temperatures (whole plot treatments) to cabinets was randomized for each experiment, and the position of each treatment within each cabinet (sub-plot treatments) was also randomized to avoid any bias due to systematic within-cabinet effects. For this study we will consider the temperature and wetness period as factors. The number of disease lesions per tray, transformed to log10(lesions + 1), recorded for this experiment are presented in the table below.
|
Block 1
|
Cabinet 1
|
Cabinet 2
|
Cabinet 3
|
|
20°C
16h
0.903
|
20°C
48h
1.716
|
15°C
24h
1.176
|
15°C
72h
1.851
|
10°C
24h
1.230
|
10°C
48h
1.964
|
|
20°C
72h
1.771
|
20°C
24h
1.176
|
15°C
16h
0.778
|
15°C
48h
1.204
|
10°C
16h
0.954
|
10°C
72h
2.130
|
|
Block 2
|
15°C
16h
1.000
|
15°C
72h
2.619
|
20°C
72h
1.672
|
20°C
24h
0.954
|
10°C
24h
1.255
|
10°C
16h
0.301
|
|
15°C
24h
1.447
|
15°C
48h
1.878
|
20°C
16h
0.845
|
20°C
48h
0.954
|
10°C
72h
1.477
|
10°C
48h
1.380
|
|
Block 3
|
10°C
24h
1.204
|
10°C
16h
0.778
|
15°C
24h
1.041
|
15°C
72h
2.338
|
20°C
72h
2.375
|
20°C
24h
1.362
|
|
10°C
48h
1.886
|
10°C
72h
2.484
|
15°C
48h
1.851
|
15°C
16h
0.602
|
20°C
16h
1.114
|
20°C
48h
1.982
|
|
|
a) Specify the design and treatment structure of this experiment. What is the number of replications for each of the main treatment factors and their interaction?
b) Write the linear model, detailing each of its components. Also, construct a partial ANOVA table identifying each model term and its corresponding degrees of freedom (but no SSs, MSs, Fs, or p-values).
c) Fit the model specified in part (b). (Partial SAS code is can be found at the end of this document.) Make sure to report the ANOVA table and the residual plots. Is it appropriate to make conclusions in this case? Why or why not? If so, what do you conclude from the overall ANOVA analysis?
d) Regardless of your responses to part (c), report treatment means and SEMs for a 5% level for each of the treatment factors (i.e. temperature, wetness period and the sliced interaction). Also report the differences between treatment means and their corresponding SEDs, Fisher's LSDs, and Tukey's HSDs.
|
How to calculate the value of w for the system
: Automobile airbags contain solid sodium azide, NaN3, that reacts to produce nitrogen gas when heated, thus inflating the bag. Calculate the value of w (work) for the following system if 11.8 g of NaN3 reacts completely at 1.00 atm and 22 °C.
|
|
Why industry has high cr while industry a had a low cr
: You want to start a company, and are trying to decide between two different industries. You are doing your final research before you write your business plan. Industry A has 20 firms and a Concentration Ratio (CR) of 30% What is the name for this ..
|
|
What rotation period will provide normal gravity
: It is proposed that future space stations create an artificial gravity by rotating, What rotation period will provide "normal" gravity
|
|
Explain what is the change in internal energy of the system
: If a system has 2.50 × 102 kcal of work done to it, and releases 5.00 × 102 kJ of heat into its surroundings, what is the change in internal energy of the system
|
|
What is the number of replications
: What is the number of replications for each of the main treatment factors and their interaction and what do you conclude from the overall ANOVA analysis
|
|
What is the capacitance of this capacitor
: A capacitor can be made from two sheets of aluminum foil separated by a sheet of waxed paper. what is the capacitance of this capacitor
|
|
Aqueous solutions has the strongest ion-dipole attractions
: aqueous solutions has the strongest ion-dipole attractions: 0.3 M FeBr3, 0.6 M CaCl2, 0.5 M Ba(NO3)2, 0.2 M (NH4)2SO4, 0.9 M KOH.
|
|
Why is elasticity of demand useful in policy decisions
: Why is elasticity of demand, useful in policy decisions Consider both price elasticity of demand and income elasticity of demand. Using graphs to illustrate your explanations of elasticity of demand, when elasticity changes and when it does not
|
|
Find the acceleration of the bullet
: A bullet is fired through a board 10.0 cm thick in such a way that the bullet's line of motion is perpendicular to the face of the board, Find the acceleration of the bullet as it passes through the board
|