R Studio, Linear discriminate analysis,

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Wbbcf350

Mathematics

IT528 Quantitative Analysis

Purdue University Global

Description

  1. Much has been made of the deteriorating public infrastructure in the United States. Roads, bridges, sidewalks, etc. need repair all over the country. This Assignment will focus on bridges. Engineers with responsibility for bridges categorize them into one of four categories with respect to risk: Monitor, Schedule Assessment, Schedule Repair/Replacement, or Immediate Repair/Replacement. Monitor means that the bridge is in good condition and is not in danger of failing. Schedule Assessment means that the bridge is showing signs of risk and should be evaluated. Schedule Repair/Replacement means that the bridge has deterioration that presents risk to users. Immediate Repair/Replacement means that the bridge has deterioration that presents risk of failure. In a Word document, create a four-quadrant risk matrix rubric and label the quadrants High Risk/High Impact; High Risk/Low Impact; Low Risk/High Impact; Low Risk/Low Impact. Place each of the four bridge conditions into the quadrant that you believe is appropriate for that condition. You need not have something in each of the four quadrants – your task is to appropriately assess and classify risk based on bridge condition. For each of the four bridge conditions, within the quadrant you selected in the risk matrix, give an example of an issue that may arise if the risk condition is not addressed.
  2. Download the Bridges.csv and the ConditionUnknown.csv files from Course Documents. Import both of these into R Studio with appropriate names. In your Word document, provide evidence that you have imported the data sets.
  3. Build a linear discriminant analysis model using the Bridges.csv data. Document each step in your Word document.
    1. You will need to load the MASS library.
    2. Create the linear discriminant analysis model for the Bridge_Action variable. Use this syntax: BridgeModel <- lda(Bridge_Action~., data=Bridges)
      1. Note that you are creating a data object called BridgeModel, and the data that you are using to create your LDA model is called Bridges (you may have named your training data something other than Bridges when you imported Bridges.csv.
  4. Make predictions for the Condition Unknown bridges using the LDA model you created in step (b) above. Use this syntax: BridgePredict <- predict(BridgeModel, CondUnk)
    1. Note that you are creating a data object called BridgePredict that will apply the BridgeModel LDA object to a data object called CondUnk (you may have named your condition unknown data something other than CondUnk when you imported ConditionUnknown.csv).
  5. Put your LDA predictions into a data frame so that you can read and interpret them. Use this syntax: MyPredictions <- data.frame(BridgePredict$class, round(BridgePredict$posterior, digits=3)*100).
  6. Open the MyPredictions data frame and examine your prediction results. Answer the following in your Word document:
    1. How many bridges do you predict will be in each action category?
    2. What does the round function in step (d) above do to the posterior values in your predictions?
    3. What do the posterior values tell you about each prediction? (Hint: add them up).
    4. Give three ways that a city or county might use the predictions you have generated to manage their infrastructure plan? Give two risks that may arise from use of your predictions.
  7. Make sure that you cite at least five supporting sources beyond the textbook in support of your writing and explanations. Cite correctly in APA format.


Screen shots must be shown for each step even the importing of the data sets. The assignment rubric is below.


Assignment Requirements

1. Each of the four bridge conditions is placed into a quadrant of a risk matrix in a Word document, and within the selected quadrant for each condition, an example of an issue that may arise if the risk condition is not addressed is given.

2. Evidence is provided that the data sets were correctly imported.

3. A linear discriminant analysis model is correctly built and thoroughly documented.

4. Predictions for the Condition Unknown bridges are made using the LDA model.

5. LDA predictions are put into a data frame. Questions (a) through (d) are completely and accurately answered with appropriate supporting sources cited.

6. At least five supporting sources beyond the textbook are cited.

Unformatted Attachment Preview

Age 63 35 22 42 40 37 48 19 18 18 23 43 34 32 35 50 30 25 42 52 55 29 37 45 49 49 54 16 22 53 49 50 36 35 17 22 25 23 40 18 22 22 42 46 39 29 Material Deterioration Water_Pillars Traffic_Volume Major_Repairs Bridge_Action Wood 4 1 3 1 Monitor Wood 29 0 5 2 Schedule Repair/Replacement Steel 8 1 4 5 Monitor Concrete 28 1 1 2 Schedule Assessment Wood 1 0 3 1 Schedule Assessment Wood 55 1 5 1 Schedule Repair/Replacement Steel 7 1 5 2 Monitor Steel 29 1 3 1 Monitor Steel 45 1 3 3 Monitor Steel 12 1 1 2 Monitor Concrete 19 0 4 1 Monitor Concrete 40 1 5 1 Schedule Repair/Replacement Concrete 61 0 4 2 Schedule Repair/Replacement Concrete 28 1 5 1 Schedule Assessment Steel 13 1 5 2 Monitor Wood 11 0 5 2 Monitor Wood 34 1 5 1 Schedule Repair/Replacement Concrete 35 1 3 3 Monitor Wood 4 1 5 3 Monitor Concrete 4 0 4 1 Monitor Concrete 29 1 2 1 Schedule Assessment Wood 48 1 1 1 Schedule Assessment Concrete 27 0 4 1 Schedule Assessment Wood 20 1 3 2 Schedule Assessment Wood 55 1 5 3 Schedule Repair/Replacement Wood 35 0 1 6 Schedule Assessment Wood 11 1 3 6 Monitor Steel 39 1 1 3 Monitor Steel 45 0 3 2 Monitor Concrete 4 1 5 1 Monitor Concrete 4 1 5 1 Monitor Wood 5 1 3 6 Monitor Wood 8 1 4 2 Monitor Concrete 11 0 4 1 Monitor Wood 39 1 1 2 Monitor Steel 54 1 4 3 Schedule Repair/Replacement Concrete 3 1 4 2 Monitor Steel 29 1 4 2 Monitor Concrete 63 1 4 1 Immediate Repair/Replacement Steel 29 1 3 5 Monitor Wood 29 1 3 5 Monitor Wood 15 1 3 2 Monitor Concrete 48 0 5 1 Schedule Repair/Replacement Concrete 20 1 5 6 Monitor Concrete 35 1 3 1 Schedule Repair/Replacement Wood 8 0 4 5 Monitor 24 31 19 39 22 56 25 51 29 40 18 54 27 49 27 36 39 41 23 42 54 26 17 20 45 63 25 42 17 33 24 19 40 28 35 37 42 24 18 18 24 17 22 40 50 29 21 Concrete Wood Steel Steel Concrete Concrete Wood Wood Concrete Concrete Steel Wood Wood Wood Steel Concrete Wood Concrete Wood Wood Wood Wood Steel Steel Wood Concrete Wood Wood Steel Wood Wood Steel Wood Concrete Concrete Steel Steel Concrete Wood Steel Wood Steel Steel Wood Wood Wood Concrete 4 43 55 25 40 61 11 11 36 4 29 40 40 50 58 101 33 24 43 37 20 51 35 32 34 40 8 27 40 4 8 4 8 40 69 32 12 18 8 25 35 3 57 30 19 33 36 1 1 1 1 1 0 1 1 0 0 0 0 0 0 1 1 0 0 1 1 1 1 0 1 1 1 1 0 1 1 1 0 1 1 1 1 0 1 1 0 0 0 1 1 1 0 1 3 4 3 4 3 2 4 5 5 4 1 5 4 3 3 5 5 3 4 3 4 1 3 3 4 2 5 4 1 4 5 3 5 4 3 1 5 4 3 3 4 1 3 4 4 4 1 1 2 1 1 2 1 1 3 1 1 1 1 2 1 2 1 1 6 1 2 1 6 3 1 2 1 1 1 6 6 4 6 1 2 1 1 1 2 3 1 2 1 1 1 1 1 2 Monitor Schedule Assessment Schedule Repair/Replacement Monitor Monitor Schedule Repair/Replacement Monitor Schedule Assessment Schedule Assessment Monitor Monitor Schedule Repair/Replacement Schedule Assessment Schedule Assessment Schedule Repair/Replacement Immediate Repair/Replacement Schedule Repair/Replacement Monitor Monitor Schedule Assessment Schedule Assessment Monitor Monitor Schedule Assessment Schedule Assessment Schedule Repair/Replacement Monitor Schedule Assessment Monitor Monitor Monitor Monitor Monitor Schedule Repair/Replacement Schedule Repair/Replacement Schedule Assessment Monitor Monitor Monitor Monitor Monitor Monitor Schedule Repair/Replacement Schedule Assessment Schedule Assessment Schedule Assessment Monitor 46 44 31 35 22 52 34 22 20 63 44 24 62 20 33 26 39 24 40 55 46 18 52 29 23 29 22 31 38 20 39 55 44 22 49 21 30 16 20 44 47 16 30 28 16 30 33 Wood Concrete Concrete Concrete Wood Concrete Concrete Steel Steel Wood Wood Wood Steel Steel Concrete Wood Concrete Wood Steel Wood Wood Steel Wood Concrete Steel Wood Steel Wood Concrete Steel Concrete Steel Wood Steel Concrete Wood Concrete Steel Wood Steel Wood Steel Concrete Wood Steel Wood Concrete 103 5 8 39 17 35 48 66 29 50 42 94 4 7 4 40 13 48 35 29 45 8 11 55 38 19 45 39 29 59 32 30 48 45 70 54 89 18 99 25 35 14 32 59 17 8 8 1 1 0 0 1 1 1 0 1 1 1 1 0 0 0 1 1 0 1 1 1 0 0 0 1 1 0 1 0 1 1 1 0 0 1 1 1 1 0 0 1 0 1 1 0 1 1 5 4 4 4 5 2 4 3 3 5 5 5 3 3 5 1 5 4 5 3 5 3 5 5 3 1 3 4 5 3 3 5 4 4 5 3 4 1 1 5 3 1 3 5 1 4 3 1 1 2 2 2 6 1 1 1 1 1 2 1 1 0 1 2 1 1 1 1 2 1 2 3 2 6 1 2 2 1 1 1 6 1 6 1 1 4 5 2 2 1 2 2 1 1 Immediate Repair/Replacement Monitor Monitor Schedule Repair/Replacement Monitor Schedule Repair/Replacement Immediate Repair/Replacement Monitor Monitor Schedule Repair/Replacement Schedule Repair/Replacement Immediate Repair/Replacement Monitor Monitor Monitor Monitor Monitor Schedule Assessment Schedule Repair/Replacement Schedule Assessment Schedule Repair/Replacement Monitor Monitor Schedule Repair/Replacement Monitor Monitor Monitor Schedule Assessment Schedule Assessment Schedule Repair/Replacement Schedule Repair/Replacement Schedule Assessment Schedule Repair/Replacement Monitor Immediate Repair/Replacement Immediate Repair/Replacement Immediate Repair/Replacement Monitor Schedule Assessment Monitor Schedule Assessment Monitor Schedule Repair/Replacement Schedule Repair/Replacement Monitor Monitor Monitor 65 21 33 34 56 15 31 19 56 36 18 51 25 20 25 58 33 46 33 55 23 28 19 22 45 29 23 31 45 18 24 48 37 42 48 51 36 31 21 27 20 50 24 28 18 34 32 Concrete Steel Wood Wood Concrete Steel Wood Steel Wood Wood Steel Concrete Steel Steel Concrete Wood Wood Concrete Wood Wood Wood Wood Steel Wood Concrete Concrete Wood Concrete Concrete Steel Steel Wood Wood Concrete Concrete Steel Wood Concrete Steel Wood Steel Wood Wood Wood Steel Concrete Concrete 29 50 25 22 12 12 48 11 35 21 19 8 40 2 47 6 4 40 54 6 4 30 29 54 23 11 40 8 8 32 45 5 29 23 34 29 69 15 4 19 54 40 32 50 7 44 4 0 1 0 1 0 1 1 0 1 0 0 0 1 1 0 1 0 1 1 1 0 1 1 1 1 0 0 0 1 0 1 1 0 1 0 1 1 1 1 1 0 1 0 1 0 0 0 5 1 5 3 5 1 3 3 4 4 3 4 4 3 4 1 4 2 1 4 4 5 3 1 4 5 4 5 3 1 3 5 4 4 4 5 4 1 3 5 3 3 4 5 3 3 3 1 2 3 1 0 1 1 1 1 2 1 1 2 2 1 1 2 5 1 0 2 4 3 2 2 1 6 6 6 4 1 1 1 1 2 1 2 1 2 2 5 1 2 1 1 1 1 Schedule Assessment Monitor Schedule Assessment Schedule Assessment Monitor Monitor Schedule Repair/Replacement Monitor Schedule Repair/Replacement Schedule Assessment Monitor Monitor Monitor Monitor Monitor Monitor Monitor Schedule 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50 48 19 0 1 1 1 1 1 0 1 1 0 1 0 0 1 1 1 0 1 1 1 0 1 1 0 1 1 0 1 0 1 1 1 1 0 1 1 1 1 1 0 0 1 0 1 1 1 0 2 3 4 4 3 3 5 4 3 4 4 5 3 3 3 1 2 5 3 4 3 3 1 1 2 3 5 4 5 1 4 5 5 4 1 4 4 1 4 3 3 1 3 2 5 4 1 2 0 2 1 3 1 1 1 1 1 1 4 1 5 1 1 5 1 5 6 4 1 1 1 1 2 1 2 5 3 1 1 1 1 1 3 1 2 1 1 2 4 1 6 1 2 2 Monitor Monitor Schedule Assessment Monitor Monitor Immediate Repair/Replacement Schedule Repair/Replacement Monitor Monitor Schedule Assessment Monitor Schedule Assessment Monitor Schedule Assessment Schedule Assessment Monitor Monitor Immediate Repair/Replacement Monitor Schedule Repair/Replacement Monitor Monitor Monitor Monitor Schedule Repair/Replacement Schedule Repair/Replacement Schedule Repair/Replacement Schedule Assessment Schedule Assessment Monitor Schedule Repair/Replacement Monitor Monitor Monitor Monitor Monitor Schedule Assessment Monitor Immediate Repair/Replacement Monitor Monitor Monitor Monitor Monitor Schedule Repair/Replacement Schedule Repair/Replacement Monitor 39 50 49 34 38 15 54 26 27 19 18 25 30 32 36 25 47 44 43 39 29 30 25 51 41 33 22 48 19 40 35 28 27 48 39 35 18 27 24 53 29 45 54 26 49 29 46 Wood Wood Wood Wood Concrete Steel Concrete Steel Concrete Steel Steel Wood Concrete Wood Concrete Concrete Wood Wood Wood Wood Concrete Concrete Wood Steel Steel Wood Steel Wood Steel Concrete Wood Concrete Wood Concrete Concrete Concrete Steel Concrete Wood Concrete Wood Wood Wood Wood Concrete Concrete Steel 63 29 19 76 45 36 8 24 23 20 35 35 54 28 11 43 35 48 41 55 14 8 32 11 103 5 39 36 41 16 29 18 98 8 4 40 29 40 4 7 8 29 4 43 8 29 4 0 1 1 1 0 1 1 1 0 0 0 1 1 0 0 1 0 1 0 1 0 1 1 0 1 1 0 1 0 0 1 0 1 1 0 1 0 1 1 1 1 1 0 0 0 0 1 5 5 3 4 3 1 3 3 4 3 1 3 2 4 3 4 5 5 3 4 3 5 1 5 5 3 5 5 3 4 4 5 5 2 4 5 3 5 4 4 5 3 3 3 4 5 5 2 1 1 1 2 2 1 2 3 2 1 3 6 1 2 2 2 1 1 1 1 1 3 6 1 2 2 1 3 1 2 1 4 2 2 1 3 2 1 6 2 2 2 1 1 1 2 Schedule Repair/Replacement Schedule Repair/Replacement Monitor Immediate Repair/Replacement Schedule Assessment Monitor Monitor Monitor Monitor 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40 43 13 29 12 32 10 7 19 47 29 32 30 4 28 8 35 65 11 29 14 11 35 40 18 7 41 27 14 19 8 40 4 39 50 32 40 54 8 29 0 1 0 1 1 1 1 1 1 0 0 1 1 0 1 1 0 0 1 1 1 1 1 0 1 1 0 1 0 1 1 0 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 5 3 4 4 4 3 3 4 4 3 4 3 4 3 1 4 5 1 1 4 4 4 3 3 1 4 4 4 2 4 1 5 1 3 3 5 2 1 4 3 1 3 3 4 1 3 1 1 1 2 2 1 1 3 4 1 0 0 1 5 5 1 6 1 2 1 1 1 5 2 6 1 2 1 1 1 1 2 1 1 5 1 3 0 5 1 1 4 1 1 2 5 3 Monitor Schedule Assessment Monitor Monitor Monitor Schedule Assessment Immediate Repair/Replacement Schedule Assessment Schedule Assessment Monitor Schedule Assessment Monitor Schedule Repair/Replacement Monitor Monitor Monitor Schedule Repair/Replacement Schedule Assessment Monitor Schedule Assessment Monitor Schedule Repair/Replacement Monitor Schedule Repair/Replacement Schedule Repair/Replacement Monitor Schedule Assessment Schedule Assessment Monitor Schedule Repair/Replacement Schedule Repair/Replacement Monitor Monitor Monitor Schedule Assessment Monitor Monitor Monitor Monitor Monitor 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4 5 2 5 1 1 4 3 4 4 3 4 3 1 5 5 2 1 4 1 5 1 3 4 4 1 1 2 3 3 3 4 3 1 2 2 1 2 1 2 1 2 5 1 6 1 2 0 5 1 1 6 1 1 3 2 2 3 1 1 2 1 2 1 1 2 1 1 1 3 6 2 1 1 1 1 1 6 1 2 Monitor Monitor Schedule Repair/Replacement Immediate Repair/Replacement Schedule Repair/Replacement Monitor Schedule Assessment Monitor Schedule Assessment Monitor Monitor Monitor Schedule Assessment Immediate Repair/Replacement Monitor Immediate Repair/Replacement Monitor Monitor Monitor Monitor Schedule Assessment Schedule Repair/Replacement Schedule Repair/Replacement Schedule Repair/Replacement Monitor Schedule Repair/Replacement Schedule Assessment Monitor Monitor Immediate Repair/Replacement Monitor Schedule Assessment Schedule Assessment Monitor Monitor Schedule Repair/Replacement Monitor Schedule Repair/Replacement Monitor Schedule Repair/Replacement Monitor Monitor Monitor Schedule Assessment Monitor Monitor Monitor 30 18 31 46 56 24 28 44 32 45 37 46 39 35 27 38 29 31 23 36 31 53 22 28 Concrete Steel Steel Concrete Wood Concrete Steel Concrete Concrete Wood Wood Concrete Wood Wood Concrete Concrete Wood Wood Wood Concrete Concrete Wood Steel Wood 101 35 42 103 4 4 103 18 11 20 8 34 45 7 20 29 45 43 4 35 45 8 55 29 1 1 0 1 1 1 0 1 1 0 1 0 0 0 1 1 0 0 0 1 0 0 1 0 3 1 3 3 5 5 5 4 2 4 5 4 5 5 1 2 5 5 4 5 5 3 3 3 1 2 1 1 1 3 1 1 2 1 1 1 1 6 1 1 1 1 5 2 2 1 1 2 Immediate Repair/Replacement Monitor Schedule Assessment Immediate Repair/Replacement Monitor Monitor Immediate Repair/Replacement Monitor Monitor Schedule Assessment Monitor Schedule Repair/Replacement Schedule Repair/Replacement Monitor Monitor Schedule Assessment Schedule Repair/Replacement Schedule Repair/Replacement Monitor Schedule Repair/Replacement Schedule Repair/Replacement Monitor Immediate Repair/Replacement Schedule Assessment Age 27 26 43 24 49 23 20 38 15 55 24 25 15 19 55 41 21 28 62 24 37 45 16 26 23 50 30 41 16 30 51 32 62 26 48 28 42 19 34 46 27 24 42 31 27 21 Material Deterioration Water_Pillars Traffic_Volume Major_Repairs Wood 26 1 4 2 Wood 6 0 3 2 Steel 30 0 4 0 Concrete 41 1 3 2 Wood 48 1 5 3 Wood 13 1 5 4 Steel 37 0 4 4 Concrete 51 0 4 5 Steel 14 1 1 4 Concrete 9 1 2 1 Steel 47 1 5 2 Concrete 18 0 3 2 Steel 15 1 2 0 Steel 9 1 1 2 Concrete 19 1 5 0 Wood 45 0 5 0 Wood 96 0 1 3 Steel 62 1 4 1 Wood 48 1 5 0 Concrete 28 1 3 3 Concrete 64 1 3 1 Concrete 19 0 3 1 Steel 34 0 2 1 Steel 39 1 2 2 Wood 4 1 5 4 Wood 17 1 5 1 Wood 32 0 3 1 Wood 4 1 4 0 Steel 13 0 2 3 Concrete 6 0 5 1 Concrete 36 0 4 1 Wood 48 1 4 4 Concrete 2 1 1 6 Steel 29 1 5 3 Steel 3 1 5 3 Concrete 12 0 3 0 Steel 6 0 3 5 Concrete 38 1 1 3 Concrete 39 0 4 2 Wood 47 1 5 2 Concrete 19 0 4 4 Concrete 4 1 3 1 Concrete 6 0 4 1 Concrete 11 0 5 0 Wood 3 1 3 0 Steel 53 1 2 1 39 30 24 32 40 39 52 16 36 35 29 62 39 27 21 43 45 26 17 38 26 40 24 22 22 24 31 54 31 46 31 25 31 20 38 27 Steel Concrete Wood Steel Concrete Concrete Concrete Wood Concrete Steel Wood Wood Concrete Steel Steel Wood Wood Wood Steel Concrete Steel Concrete Wood Steel Wood Concrete Concrete Concrete Wood Wood Wood Wood Concrete Steel Wood Wood 12 34 30 43 36 5 1 3 9 37 33 3 43 1 40 27 16 55 15 15 21 27 97 47 23 44 2 28 12 45 52 17 53 4 25 20 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 1 0 1 0 0 1 1 0 0 1 0 0 0 1 0 1 1 1 0 0 1 3 4 3 4 3 5 5 4 3 5 4 3 5 5 2 4 3 1 1 3 2 4 5 3 5 4 5 4 5 4 1 4 5 4 4 5 2 2 6 1 5 2 0 3 2 2 2 0 3 0 4 4 0 6 1 0 1 0 5 6 3 0 0 0 2 0 0 3 1 5 1 3
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