What are the importance weights of the different attributes for the average customer based on the results in Table 7?

Product Design and Sales Predictions (45 points)

CleanAir Controls is evaluating the opportunity to enter the US air pollution control system market with one or more offerings. Tighter environmental regulations have created this opportunity. There are currently three major competitors in the US that differentiate themselves along four major attributes: efficiency, delivery time, price, and delivery terms (see Table 3). The challenge for CleanAir is to determine what new product(s) to offer, to which market segment(s), and with what selling proposition(s), in order to achieve success in the US market. You will need to justify the recommended entry strategy by demonstrating forecasted marginal contributions in excess of $4 million per year to support the new offering(s).

Through other divisions, the firm has good access to US distribution channels. Most importantly, through some closely related divisions, it has an extensive network of US-based service representatives who can be called upon to provide a higher level of service to their customers and prospects in this marketplace. CleanAir also has reason to believe that its product is less likely to need costly service than those of competitors. In fact, some of its product development engineers and managers have been urging CleanAir to consider a warranty of up to 2 years. However, the company has little understanding of how much customers would be willing to pay for such a warranty (60 days was industry standard).

The most popular size and capacity for a system is 50,000 SCFM (Standard Cubic Feet per Minute); it is a basic design decision across all offerings. Market research indicated that there would be annual demand for about 300 units of that size in the US over the next decade or so. Thanks to new technical developments in Germany, CleanAir is able to credibly offer a system that exceeds regulation specification by up to 9%.

Initially, it was thought that a “Base Model” was the best way to begin understanding how the US market operated. Some team members, however, argued that an even more rudimentary product but with a 2-Year warranty (Servair DX) could be more profitable. It would also open the possibility for a product to compete with Thermatrix, using CleanAir’s service network (Premier LX). This option would be considerably more expensive and launching more than one product would result in an additional fixed cost of $3 million. In the end, CleanAir settled on three options for consideration to be launched in the US market (see Table 4).

To help guide its market entry decisions, the company decided to conduct a conjoint analysis study to understand the important tradeoffs that potential customers make in purchasing such air cleaning systems. The objective of the conjoint study was to identify attractive target segments and the kinds of features that customers in those segments would prefer to have in the new system. It was to be a main source of information support for the business case that the team was asked to make (see Table 5 for the different attribute levels used in the study). The estimated cost implications of different attribute options relative to the base option of the “Base model”, which was estimated to cost $500,000, are shown in Table 6.

The conjoint study collected data from 31 companies, a representative sample of the target industries for the offering, focusing heavily on the food and energy sectors. Their responses could be used to make volume and profit estimates. Table 7 shows the part-worth estimates for the entire sample. Tables 8 to 10 show the predicted market shares for different options based on the conjoint analysis results.

Using the individual part-worths, the market research company segmented the respondents and identified two clear segments. Most firms in Segment 1 are in the Energy industry (35% of customers); many of those in Segment 2 are in the Food industry (65% of customers). Segment 1 firms are much larger (in terms of sales and number of employees), and more profitable, with the purchasing decision process dominated by Finance and Purchasing. In contrast, Segment 2 firms are faster growing, and the purchasing decision process is dominated by Top Management and by Engineering. The part-worths for the two segments in Table 11 show shows that Segment 2 firms seek a system that clearly exceeds EPA requirements and values having it installed quickly. Segment 1 firms are far more concerned about financial issues. The predicted market share for a targeted approach with different products for the two segments are shown in Table 12.

Questions

  1. What are the contribution margins for the three different options shown in Tables 4 and 6? (3 points)
  2. What are the importance weights of the different attributes for the average customer based on the results in Table 7? (5 points)
  3. The market research company used a ‘first-choice rule’ to predict market shares from the conjoint results. Given the type of product market, is this rule appropriate or not? Explain. (5 points)
  4. How would you use the market share results shown in Table 8? (3 points)
  5. If CleanAir launched only one option of the three under consideration, which one should it launch, given the results in Table 9? Why? (7 points)
  6. Would it make sense for CleanAir to launch both Servair DX and Premier LX, given the results in Table 10? Why? (5 points)
  7. Is a targeted approach preferred to launch either just one option (part e) or two options without segmentation (part f) given the results in Table 12? Why? (5 points)
  8. Given the results in Table 11, what is the $-value of 2-year warranty over a 1-year warranty for segment 1 and segment 2 customers, respectively? Should CleanAir offer a 2-year warranty, a 1-year warranty or no warranty (service contract only) in any of the options? Why (7 points)
  9. As Thermatrix, how would you react to your proposed entry strategy for CleanAir? Why? (5 points)

 

 

 

Table 3: Current Products in the US Market

Competitor Efficiency Delivery
Time
Price Delivery
Terms
Wastewatch Exceeds Specs
by 5%
9 Months $600K FOB
with Service Contract
Thermatrix Exceeds Specs
by 9%
12 Months $900K FOB
with Service Contract
Advanced Air Meets Specifications 9 Months $600K Installed
with Service Contract

FOB = “Free on Board” and means the buyer pays for delivery. “Installed” means the supplier pays for delivery.

Table 4: Considered New Product Options for US Market

Model Efficiency Delivery
Time
Price Delivery
Terms
Servair DX Meets Specifications 15 Months $900K Installed
with 2-Year Warranty
Premier LX Exceeds Specs
by 9%
12 Months $900K Installed
with Service Contract
Base Product Exceeds Specs
by 5%
12 Months $700K Installed
with Service Contract

Table 5: Attribute Levels for Conjoint Study

Efficiency Delivery
Time
Price Delivery
Terms
Exceeds Regulation Target
(Specification) by 9%
6 Months $600K Installed
with 2-Year Warranty
Exceeds Regulation Target
(Specification) by 5%
9 Months $700K Installed
with 1-Year Warranty
Meets Regulation Target
(Specification)
12 Months $800K Installed
with Service Contract
Short of Regulation Target
(Specification) by 5%
15 Months $900K FOB,
with Service Contract

Table 6: Incremental Cost Estimates of Different Attribute Levels

Efficiency Incremental Cost Delivery Time Incremental Cost Delivery Terms Incremental Cost
Exceeds by 9% +$170K 6 months +$40K Installed,
2-Year War.
+$300K
Exceeds by 5% Base
Product
9 months +$20K Installed,
1-Year War.
+$100K
Meets Specs –$70K 12 months Base
Product
Installed,
w/Contract
Base
Product
Short by 5% –$90K 15 months –$10K FOB –$100K

Table 7: Part-Worth Results of Conjoint Study

Attribute Attribute Level Average Std dev. Minimum Maximum
Efficiency Exceeds by 9% 27.3 13.2 6.0 52.0
  Exceeds by 5% 16.9 10.9 2.0 40.0
  Meets specifications 8.4 7.6 0.0 40.0
  Short by 5% 0.0 0.0 0.0 0.0
Delivery 6 months 31.2 13.3 10.0 55.0
Time 9 months 19.1 10.5 5.0 45.0
  12 months 9.2 5.6 2.0 20.0
  15 months 0.0 0.0 0.0 0.0
Price $600K 18.6 12.6 2.0 50.0
  $700K 12.6 10.3 0.0 38.0
  $800K 6.4 5.8 0.0 25.0
  $900K 0.2 0.6 0.0 3.0
Delivery Installed, with 2-year warranty 20.4 11.1 3.0 45.0
Terms Installed, with 1-year warranty 13.9 9.0 3.0 40.0
  Installed, with service contract 5.6 3.7 0.0 16.0
  FOB, with service contract 0.0 0.0 0.0 0.0

Average:                Average part-worth for all respondents

Std.Dev.:               Standard deviation of part-worth over all respondents

Table 8: Market Share Results for Current Options

Wastewatch Thermatrix Advanced Air
Predicted 48.9% 5.4% 45.7%
Actual 50.0% 5.0% 45.0%

Table 9: Predicted Market Share Results with New Products Added

Wastewatch Thermatrix Advanced Air New product
Base predictions 48.9% 5.4% 45.7% N/A
…with Servair DX 44.6% 4.3% 38.2% 12.9%
…with Premier LX 43.8% 0.8% 34.1% 21.2%
…with Base model 45.7% 5.4% 39.2% 9.7%

 

 

Table 10: Predicted Market Share Results with Two Products Added

Wastewatch Thermatrix Advanced Air Servair DX Premier LX
Prediction 39.8% 0.0% 30.1% 12.9% 17.2%

Table 11: Part-Worth Results by Segment

Attribute Attribute Level Population Segment 1 Segment 2
Efficiency Exceeds by 9% 27.3 15.6 32.1
  Exceeds by 5% 16.9 6.1 21.3
  Meets specifications 8.4 4.2 10.0
  Short by 5% 0.0 0.0* 0.0*
Delivery 6 months 31.2 17.3 36.8
Time 9 months 19.1 10.1 22.8
  12 months 9.2 6.4 10.3
  15 months 0.0 0.0* 0.0*
Price $600K 18.6 28.6 13.6
  $700K 12.6 20.3 8.8
  $800K 6.4 5.8* 6.7*
  $900K 0.2 0.0* 0.4*
Delivery

Terms

Installed, with 2-year warranty 20.4 29.3 16.8
  Installed, with 1-year warranty 13.9 19.6* 11.6*
  Installed, with service contract 5.6 4.33* 6.09*
  FOB, with service contract 0.0 0.0 0.0

* not significantly different between segments

Table 12a: Predicted Market Share Results for Segment 1

Wastewatch Thermatrix Advanced Air Servair DX
Prediction 5.6% 0.0% 61.1% 33.3%

Table 12b: Predicted Market Share Results for Segment 2

Wastewatch Thermatrix Advanced Air Premier LX
Prediction 53.8% 0.0% 17.4% 28.8%

What does this mean for the future viability of the firms? How helpful is this analysis in understanding the company’s stock price performance?  

BNL Stores

Description

The case requires students to conduct a financial analysis of BNL Stores, a retail business. Case materials include a multi-year balance sheet, an income statement and statement of cash flows data. Students will prepare and interpret selected ratios, and prepare a basic statement of cash flows. The case entails use of financial statement analysis, balance sheets and income statements to provide a complete picture of an organization’s financial health. Data for the case are disguised and are drawn from the published financial statements of a major retailer that went bankrupt. The collapse of companies in similar circumstances influenced the Financial Accounting Standards Board’s moves to require a statement of cash flows and was historically significant.

Detailed case information could be found at Harvard Business School Cases: https://hbsp.harvard.edu/import/699232.

 

Learning objective

The case allows students to calculate a series of financial ratios and perform basic financial statement analysis. It also introduces the statement of cash flows and engages students in preparing simple cash flow statements. These exercises then demonstrate shortcomings in ratio analysis through showing that good financial statement ratios can conceal deteriorating liquidity. The limited warning of bankruptcy in this case is a caution to students in reading and interpreting financial statements. The case is suitable for use at the early stage of an MBA or undergraduate core course in accounting.

Required questions

1) Calculate the following 11 ratios for each year from 2018 to 2020. Do you notice any trends? What insight do these trends provide into the operations of BNL?

Profitability ratios: Gross profit margin, net profit margin, ROE, ROA;

Turnover ratios: Days receivables, inventory turnover, total asset turnover;

Liquidity ratios: current ratio, quick ratio;

Solvency ratios: Debt to equity ratio, debt to capitalization ratio

 

Note: For any ratios involving the average of an asset account, use the ending balance of that account instead of the average balance for simplicity. For example, in the calculation of ROA, the end balance of total assets should be used as the denominator instead of average total assets. That is,

ROA = [Net Income + interest expense * (1-tax rate)]/ ending total assets

Inventory turnover = cost of goods sold / ending inventory

Furthermore, debt to capitalization ratio is defined as follows:

debt to capitalization = long-term liabilities / (long-term liabilities + share capital)

2) Following the format in Exhibit 3, prepare statements of cash flows for BNL for each year from 2018 to 2020.

3) What do the cash flow statements show? What does this mean for the future viability of the firms? How helpful is this analysis in understanding the company’s stock price performance?

 

Format of the case analysis report

The case analysis should respond specifically to the case questions in a clear and concise manner. In general, the report should be no longer than four pages of text (12 font size, 1.5 lines spaced, one-inch margins) plus four pages of appendix including tables and figures if necessary.

The text should describe and explain the key information presented in the statements, as if you are presenting the case to a group of audience who are trying to understand the financial conditions of this company better.

You should submit your case report to the blackboard using the link associated with each case. Only one copy of the report is needed for each group. Please coordinate with your group members so that the same report will not be submitted by more than one member in your group.

Based on your calculations, which one of the two investments is the riskiest? Which one of the two investments will provide the highest return?

1.1 Calculate the mean of the capital return probability distribution for Building A.

1.2 Calculate the mean of the capital return probability distribution for Building B.

1.3 Using the mean calculated in Question 1.1, calculate Building A’s standard deviation.

1.4 Using the mean calculated in Question 1.2, calculate Building B’s standard deviation.

1.5 Calculate the expected ex ante total return and ex ante risk premium for Building A.

1.6 Calculate the expected ex ante total return and ex ante risk premium for Building B.

1.7 Based on your calculations, which one of the two investments is the riskiest? Which one of the two investments will provide the highest return? What does this illustrate about the relationship between risk and return? (Max. 70 words)

List and describe at least two current onboard monitoring systems, and demonstrate how the new CVT reports information better than the current methods of onboard technology.

• Connected Vehicle Technology
For this assignment, research the 2016 deployment of connected vehicle technology (CVT) at the National Highway Traffic Safety Administration website, and write a two-page essay detailing your thoughts on how this method of safety technology compares with current onboard vehicle monitoring systems within fleets. Make certain to address the following elements in your essay:
• List and describe at least two current onboard monitoring systems, and demonstrate how the new CVT reports information better than the current methods of onboard technology.
• List what types of vehicles you think would benefit from the use of this type of technology.
• How can drivers be trained on the performance of these types of technologies? How can it help mitigate potential safety problems and lower the risk of accidents?
• Indicate how CVT can ensure that proper safety protocols are followed by fleet drivers.
U.S. Department of Transportation, National Highway Traffic Safety Administration. (2016, December 13). U.S. DOT advances deployment of connected vehicle technology to prevent hundreds of thousands of crashes [Press release]. Retrieved from https://one.nhtsa.gov/About-NHTSA/Press-Releases/nhtsa_v2v_proposed_rule_12132016
This essay must be a minimum of two pages in length, not including the title page and reference page. Your paper must be double-spaced and in APA style format.

Using the sensitivity charts in the chapter, please determine whether this member of the Enterobacteriacae is Susceptible, Intermediate, or Resistant to the previous drugs?

Lab Assignment #3
Kirby-Bauer Antimicrobic Sensitivity Testing

Background Information – (Please open and use the LAB NOTES for Kirby-Bauer Sensitivity Test from the weekly notes), also refer the appropriate chapter in the book.

The Kirby-Bauer Test is routinely used in clinical labs to test the efficacy of various antibiotics against microbes. In this procedure, using a sterile swab, a large size agar plate is inoculated with a predetermined known culture. The agar is called Mueller-Hinton Agar, and it is specifically used for this kind of testing. Small paper discs impregnated with an antibiotic are then placed around the plate and the plate is incubated overnight. There may be up to 12 different discs, each is abbreviated with the name and dosage of an antibiotic. The next day one will see a blanket of bacteria over the plate and possibly clear circles around some or many of the discs where the bacteria has been inhibited by the given antibiotic. These circles are referred to as a “Zone of Inhibition”.
Each of the zones are measured in millimeters and recorded. Then one must look up each antibiotic alphabetically on the Sensitivity charts (3 pages) within the chapter and compare the measured result to the reference numbers to determine which column (Resistant, Intermediate or Sensitive) that each particular antibiotic falls under. You will see that every antibiotic has different reference zone size numbers so that’s why you need to do them individually. When you are done you can easily compare the efficacy of the different antibiotics to see which are the most or least effective. Doctors will routinely order this kind of test for their patients, especially if there is a recurring infection and if they need to switch antibiotics for other reasons.
Please pay attention to “the factors which affect zone size” in the Notes because it is very important that the inoculations are done properly for this procedure.

Questions:

1) Here are some hypothetical results for the following antibiotics. Use the charts in the book to determine the zone ratings (Resistant, Intermediate, Sensitive) for the following disc measurements first for Staphlococci and second for Enterobacteriaceae.

Antibioitic Measured Zone Size Rating- Staph/ Enterobac
Am- 10 14mm
CF-30 24mm
E-15 18mm
Va-30 23mm
S-10 17mm
P-10 13mm
G-10 11mm
B-10 0 mm

2) If you have a plate with no zones what does that tell you about the importance of this organism? Consider your response from both the patient and an epidemiological perspective. Have you heard of such a thing? Yes…..so give an example.

3) If you left the plates about 8 or more hours in the incubator, what would it do to the zone sizes and results?

4) What zone effects would you get by putting too heavy or light amount of bacterial inoculum on the plates?

5) Why is this method universally used for epidemiological studies across the country?

6) Your patient has a bad infection but is allergic to Penicillin so therefore the doctor would categorically reject which other antibiotics for the patient? Why?

Below is an actual Mueller-Hinton Agar plate already incubated so you can see the growth and the zones of inhibition. For simplicity the discs are actually alphabetized not abbreviated.

These are the Kirby Bauer results for Escherichia coli isolated from a urine culture.
A. Novobiocin
B. Amikacin
C. Chlorophenicol
D. Vancomycin
E. Ciprofloxacin
F. Cephalothin

Using the sensitivity charts in the chapter, please determine whether this member of the Enterobacteriacae is Susceptible, Intermediate, or Resistant to the previous drugs?

What is the probability that a randomly selected resident in the UON service area was born overseas?

STAT1070 Assignment 1

Justify your answer to each question. This justification can involve hand calculation or providing relevant interpretation of output from SPSS and/or statstar.io. If a question requires hand calculation, please show your working. If a question requires output from statstar.io, please provide and refer to this output accordingly. Do not simply restate SPSS or statstar.io output, but provide concise interpretation of this output where appropriate.

Question 1. [16 marks]

A data set contains information about 120 different female dogs who have bred, 40 of which are labradors, 40 are golden retrievers, and 40 are German shepherds.

The variables are:

Breed    breed of the dog

LitterSize    the number of pups in the dog’s most recent litter

Weight    the weight of the dog, in kilograms

Height    the height of the dog, in centimetres

Temperament   behaviour score, with 5 possible scores: very poor, poor, standard, good, and very good

  • [5 marks] What types of variables are Breed, LitterSize, Weight, Height, and Temperament? Provide a justification for each answer. Your mark for each variable will be based on this justification.
  • [2 marks] Using the output of Figures 1 and 2, describe the distribution of the weight of the dogs.
  • [3 marks] Using the output of Figures 3 and 4, describe the relationship (if any) between breed and temperament.
  • [3 marks] Using the output of Figures 5 and 6, describe the relationship (if any) between weight and height of the dogs.
  • [3 marks] Using the output of Figures 7 and 8, describe the relationship (if any) between litter size and breed.

Figure 1: A histogram and boxplot of the weights of the 120 dogs.

Figure 2: Descriptive statistics of the weights of the 120 dogs.

Figure 3: A stacked bar chart of the temperament by breed for the 120 dogs.

Figure 4: Counts and proportions of temperament by breed for the 120 dogs.

Figure 5: A scatterplot of weight vs height for the 120 dogs.

Figure 6: Correlation output of weight vs height for the 120 dogs.

Figure 7: Side-by-side boxplots of litter size by breed for the 120 dogs.

Figure 8: Descriptive statistics of litter size by breed for the 120 dogs.

Question 2. [15 marks]

To get full marks for the following questions you need to convert the question from words to a mathematical expression (i.e. use mathematical notation), defining your events where necessary, and using correct probability statements.

Suppose the University of Newcastle (UON) service area consists of the three Main Statistical Areas from which most students from the University of Newcastle live: the Central Coast (CC), Hunter excluding Newcastle (HEN), and Lake Macquarie and Newcastle (LMN) areas. According to the Australian Bureau of Statistics, 14.6% of residents in the CC area were born overseas, 8.4% of residents in the HEN area were born overseas, and 11.7% of residents in the LMN area were born overseas. Across the UON service area, 34.6% live in the CC area, 27.0% live in the HEN area, and 38.4% live in the LMN area.

Let B be the event that a resident was born overseas, CC be the event that a resident lives in the Central Coast, HEN be the event that a resident lives in the Hunter excluding Newcastle area, and LMN be the event that a resident lives in the Lake Macquarie and Newcastle area.

  • [3 marks] Construct a tree diagram that summarizes the given probability information.
  • [2 marks] What is the probability that a randomly selected resident in the UON service area is a resident of the Central Coast and was born overseas?
  • [3 marks] What is the probability that a randomly selected resident in the UON service area was born overseas?
  • [2 marks] Are the events B and CC independent? Why or why not?
  • [3 marks] If a randomly selected resident in the UON service area was born overseas, what is the probability that he or she is a resident of the Hunter excluding Newcastle area?
  • [2 marks] In part (c), you found the probability that a randomly selected resident in the UON service area was born overseas. Can you infer that this probability is the same as the probability that a UON student was born overseas? Why or why not?

Question 3. [16 marks]

To get full marks for the following questions you need to convert the question from words to a mathematical expression (i.e. use mathematical notation), defining your random variables where necessary, and using correct probability statements.

Suppose that the IQ of adults is normally distributed with a mean of 100 and standard deviation of

15.

  • [2 marks] What IQ score distinguishes the highest 10%?
  • [3 marks] What is the probability that a randomly selected person has an IQ score between 91 and 118?
  • [2 marks] Suppose people with IQ scores above 125 are eligible to join a high-IQ club. Show that approximately 4.78% of people have an IQ score high enough to be admitted to this particular club.
  • [4 marks] Let X be the number of people in a random sample of 25 who have an IQ score high enough to join the high-IQ club. What probability distribution does X follow? Justify your answer.
  • [2 marks] Using the probability distribution from part (d), find the probability that at least 2 people in the random sample of 25 have IQ scores high enough to join the high-IQ club.
  • [3 marks] Let L be the amount of time (in minutes) it takes a randomly selected applicant to complete an IQ test. Suppose L follows a uniform distribution from 30 to 60. What is the probability that the applicant will finish the test in less than 45 minutes?

Determine by hand or Excel the Kaplan-Meier survivalfor the Placebo group.Include an intermediate calculation.

Ass1
Survival Analysis
Question 1 The following are survival times for two treatment groups, * indicates a right censored observation. All subjects are entered at time 0.
ID Group Time 1 Placebo 1 2 Placebo 2 3 Placebo 7* 4 Placebo 8 5 Placebo 12 6 Drug 4 7 Drug 6* 8 Drug 9 9 Drug 10 10 Drug 13

a. Determine by hand or Excel the Kaplan-Meier survivalfor the Placebo group.Include an intermediate calculation.

b. Determine by hand or Excel the Log rank test statistic.Use a table and show at least one intermediate calculation.

c. Determine the risk set (this means the ids of the subjects) at time=10 and the corresponding term in the partial likelihood assuming that the data is coded Placebo=0 and Drug=1 and the parameter is β .

d. If the subject with id 10 was entered at time=11, that is there is delayed entry, how would this change the results of (c).

Question 2 The following data set (dialysis.csv) concerns the survival of patients after starting peritoneal dialysis. [Dialysis is a blood filtering treatment that replaces the function of the kidneys. Dialysis is started when an individuals kidneys stop working]. The interest is in modelling the time to death, but we will also do one analysis for transplant. This is not real data but is based on a real data set.

Variable Description id Patient Identify stat1 Status at end of followup (0=Dead, 1=Dialysis, 2=Transplant, 3=Lost to Followup) yrstotal Total years of followup gender Gender (1=Male,0=Female) diabetes Diabetes (1=Yes, 0=No) startyr Year started dialysis age Age starting dialysis
Analyses should be performed in Stata. a. Death i. Setup the data for survival analysis for death as the event, that is stat1=0 with all other outcomes considered censored.Show the command.Note:Think about what the value for censoring should be. ii. Using the covariate age,categorize into 3 equal,as possible,groups.Produce a Kaplan-Meier plot for each age group.Comment. iii. Determine the median survival with 95% CI for each age group.Why can’t the median survival be obtained for the lowest age group? iv. Determine the survival at 10 years with 95% CI for each age group. v. Perform a logrank test, and a test for trend for age group. Comment. vi. Fit a Cox model for age group and test for evidence of an effect of age group using a Wald test. vii. Using the covariates continuous age and diabetes, fit a Cox model, produce a table of results suitable for publication (suitable for publication means correctly formatted with irrelevant output removed and appropriate p -values), and comment including interpreting the results. b. Fit a Cox model for transplant as the event,with all other events as censoring with covariates continuous age and diabetes and comment on the results. Question 3 A cumulative density function is given by
F ( t ) =(1 − p ) (1 − e − λtt ) (1 − θee − λtt )
t > 0; λt > 0; 0 < θe < 1; 0 < p < 1
a.hence derive S(t), f(t) and h(t). b.Graph f ( t ) ,
S ( t ) and h ( t ) for λt = 1 You should produce 2 sets of g r a p h s . The first should hold p fixed at 0.5 and show 3 values of θe , 0.1, 0.5, 0.9 and the second should hold θe fixed
at 0.5 with 3 values of p , 0.1, 0.5, 0 . 9 . H i n t : You may use any method, but this is easiest done in R or STATA (Excel may work as well) by defining functions for each and then them eg:
3
t <- seq(0,5,0.01) f <- function(t,p,theta,lambda) { return(????) } plot(t,f(t,0.1,0.5,1),ylim=c(0,2),type=”l”,col=”red”) c. Describe the effect of parameters p and θe , assuming λt fixed.

What are the most common reasons you would select a non-parametric test over the parametric alternative?

Instructions

This week your SPSS work will focus on explaining non-parametric tests. You will submit one Word document for this assignment, In the first part, you will provide short answers to the following questions.

Begin by downloading the following SPSS datasets:

  • Activity 8a.sav (found in Excel)
  • Activity 8b.sav (file you created in excel)
  • Activity 8c.sav (found in excel)

Part A. Questions about non-parametric procedures

  1. What are the most common reasons you would select a non-parametric test over the parametric alternative?
  2. Discuss the issue of statistical power in non-parametric tests (as compared to their parametric counterparts). Which type tends to be more powerful? Why?
  3. For each of the following parametric tests, identify the appropriate non-parametric counterpar
    1. Dependent t test
    2. Independent samples t test
    3. Repeated measures ANOVA (one-variable)
    4. One-way ANOVA (independent)
    5. Pearson Correlation

Part B. SPSS Assignment
In this part of the assignment, you will perform the non-parametric version of the tests you used previously. In each case, assume that you opted to use the non-parametric equivalent rather than the parametric test. Using the data files from earlier activities, complete the following tests and paste your results into the assignment Word document:

  1. Activity 8A: non-parametric version of the dependent t test
  2. Activity 8B: non-parametric version of the independent t test
  3. Activity 8C: non-parametric version of the single factor ANOVA

Length: 100-200 words per question

Your paper should demonstrate thoughtful consideration of the ideas and concepts that are presented in the course and provide new thoughts and insights relating directly to this topic. Your paper should reflect scholarly writing and current APA standards

 

Is the method of sampling clearly pre­sented? Could the way the sample was obtained influence the results?

Questions for the article analysis

(Explain or defend your answers using the appropriate relevant chapter knowledge)

  1. Is the general purpose of the study clear? Will the study provide a significant contribution?
  2. Is the specific research hypothesis or question clearly and concisely stated?
  3. Is the method of sampling clearly pre­sented? Could the way the sample was obtained influence the results?
  4. Is there anything in the procedures for collecting the information, or in the instru­ments themselves, that could bias the re­sults or weaken the study?
  5. Do the conclusions and interpretations follow logically from the results presented? Are unwarranted causal conclusions made from correlations or comparisons? Are lim­itations indicated?

Conduct a one-way ANOVA on both Anxiety and Performance using Sound as the independent variable.

PSY 520 SPSS Assignment 2

Before you begin the assignment:

  • Read Chapter 14 in your Beginning Behavior Research: A Conceptual Primer textbook and Chapter 13 in your Discovering Statistics Using IBM SPSS Statistics
  • Review the video tutorial for an overview of conducting ANOVA analyses in SPSS.
  • Download and open the Test Performance SPSS data set.

An overview of the data set:

This data set represents hypothetical data from a study that examined how background music affected performance on a math test. Specifically, participants were randomly assigned to take a general math test with rock music, classical music, or white noise playing in the background. Further, participants were classified as being either high or low in math experience based on the number of college math courses they had taken.

Here is some more information about the variables in this hypothetical data set:

  • Number: The ID number of the participant
  • Sound: The type of background music participants heard while taking the test; 1 = rock, 2 = classical, and 3 = white noise
  • Experience: Participants who had taken three or more college math courses were classified as being high in math experience, whereas participants who had taken fewer than three were classified as being low. 1 = high and 2 = low
  • Anxiety: Anxiety during the test, with possible scores ranging from 0 to 50. Higher scores indicate higher levels of anxiety
  • Performance: Performance on the general math test, with possible scores ranging from 0 to 100. Higher scores indicate better performance on the test

Questions:

1) Describe in your own words what type of research situations call for a researcher to use an ANOVA analysis.

Type answer below:

2a) Use the Compare Means function (AnalyzeàCompare MeansàMeans) to compare the means of the three Sound conditions on Anxiety and Performance.

Paste output below (Read carefully: The best way to do this is to select “Copy Special” when copying from the SPSS output. Then select image as a format to copy. When pasting in Word, select Paste Special, choose a picture format, and then resize the image so it fits the screen):

3b) Based on these results, on which variable does it most appear there might be significant differences based on the Sound condition?

Type answer below: 

4a) Conduct a one-way ANOVA on both Anxiety and Performance using Sound as the independent variable. That is, conduct two separate one-way ANOVAs, one with Anxiety as the dependent variable and one with Performance as the dependent variable.

Paste the output below (Read carefully: The best way to do this is to select “Copy Special” when copying from the SPSS output. Then select image as a format to copy. When pasting in Word, select Paste Special, choose a picture format, and then resize the image so it fits the screen):

5b) Based on these results, were either of your ANOVAs significant? How can you tell? Use a cutoff level of .05 for your decision.

Type your answer below:

6a) Remember that in a one-way ANOVA, we are only looking at the impact of one variable on the dependent variable. Factorial ANOVAs, on the other hand, assess the impact of multiple independent variables. Conduct a factorial ANOVA on Performance using both Sound and Experience as independent variables. Be sure to choose the option to view the estimated marginal means for all of your main effects and interactions—this will allow you to more easily interpret the results.

Paste your output for only the Test of Between-Subjects Effects below:

7b) Write the results of the ANOVA. For help, refer to this document.

Type answer below: