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- 1. September, 2003 How to Ace your Interview Interview Workshop
- 2. This is a guide to recruitment interviews of Inductis for consultants across levels in all Inductis offices and business areas
- 3. <ul><li>Introduction </li></ul><ul><li>Fit Interview </li></ul><ul><li>Case Interview </li></ul><ul><li>Summary </li></ul><ul><li>Appendix </li></ul>Agenda
- 4. Introduction
- 5. What Makes A Good Consultant <ul><li>Factors for Success: "The key factors for success in the management consulting field are qualities of character, intelligence, judgment, the ability to express oneself persuasively, self-confidence, [and] self-discipline." </li></ul><ul><li>Problem Solver: "The consultant is a professional problem solver who likes solving problems for the thrill of it, for his/her own satisfaction. S/he likes to face a variety of problems frequently. S/he's not the kind of person who could sit for 20 years behind the same desk. " </li></ul><ul><li>Team Leader: "The professional consultant must plan and organize much of his/her own work, must readily grasp and assume effective control of situations which are inherently unclear, and must be able to lead people over whom s/he exercises no authority." </li></ul>Source: 1968 Interviews with management consultants
- 6. What We Look For Analytic and Quantitative Skills Communication Skills Leadership Ability Teamwork Ethics and Integrity Organization Computer Skills Characteristics
- 7. Our Selection Process Aptitude Test Shortlist Interview (3 Rounds) The test contains 3 sections; Verbal, Mathematics and Analytics. Each section contains 10 questions. Total duration of the test is ½ hour. Shortlist is on basis of the score in aptitude test and past academic record Informal Session You get a chance to interact with our team to address all your queries related to Inductis; Interview, Career etc. 3 rounds of interviews are conducted; each interview having a mix of fit interview and case interview
- 8. Our Interviews Fit Case Offer Typically each interview is a mix of a fit interview and a case interview. To receive an offer you must succeed in both
- 9. The Fit Interview
- 10. <ul><li>To explore your personal integrity and ambitions </li></ul><ul><li>To learn about your interests and to see if they match those of the firm </li></ul><ul><li>To see whether you can "present" yourself in a coherent manner </li></ul><ul><li>To ascertain your level of knowledge and interest in consulting </li></ul><ul><li>To provide an opportunity for you to learn more about our firm </li></ul>Overview Objectives The main purpose of the fit interview is to discover whether you will "fit" with the firm's culture and people
- 11. Typical Questions To Expect <ul><li>Tell me something about yourself </li></ul><ul><li>Give me an instance when you performed under stress </li></ul><ul><li>Give me an instance where you have delivered a creative solution. What was the impact of your solution? </li></ul><ul><li>Tell me an incident where your views were in conflict with team. How did you resolve? </li></ul>
- 12. Dos and Don'ts of a Fit Interview <ul><li>DO: </li></ul><ul><li>Relax and be comfortable </li></ul><ul><li>Express your own interests and expectations </li></ul><ul><li>Convey a coherent picture of yourself and your skills </li></ul><ul><li>Ask good questions </li></ul><ul><li>Demonstrate your knowledge of the firm (i.e. its culture and history) </li></ul><ul><li>DON'T: </li></ul><ul><li>Get defensive or let nerves overcome you </li></ul><ul><li>Feign interest in subjects to impress the interviewer </li></ul><ul><li>Tell stories that confuse the interviewer or provide confusing images of who you are </li></ul><ul><li>Ask questions for the sake of asking questions </li></ul><ul><li>Appear ignorant about the position for which you are interviewing or about the firm with which you are interviewing </li></ul>Since the fit interview is designed to see simply if you match well with the firm, it is difficult to put forth a set of rules. However, there are some basic dos and don'ts
- 13. The Case Interview
- 14. Overview <ul><li>To ascertain how you think through problems </li></ul><ul><li>To determine your ability to structure a logical argument </li></ul><ul><li>To test your analytic and quantitative skills </li></ul><ul><li>To give you a flavor for the types of problems consultants work on </li></ul>Objectives Case interviews seem to be one of the biggest sources of stress surrounding the interviewing process, but they don't need to be. If you understand what the interviewer is looking for, case interviews can be quite manageable
- 15. General Hints for Approaching Cases <ul><li>Think first, then speak </li></ul><ul><li>Be as clear and concise as possible (e.g. 1, 2, 3) </li></ul><ul><li>Ask questions, don't just give answers </li></ul><ul><li>Make sure you are answering the problem being asked </li></ul><ul><li>Establish the scope of the problem before digging deep in one area </li></ul><ul><li>Always state your assumptions </li></ul><ul><li>Don't be afraid to take notes if there are a lot of facts </li></ul><ul><li>Be sure you explain your thought process/logic path </li></ul><ul><li>Select a solution and justify it </li></ul><ul><li>Don't forget possible alternatives </li></ul><ul><li>Read the newspaper the day of your interview; many times interviewers will pull their cases from the day's news </li></ul>General Tips No matter what kind of case you face, there are a few guidelines you should always keep in mind
- 16. United States Basic Statistics Population of the world: 6.2 billion Population of the U.S.: 290 million Number of adults in the U.S.: 210 million (18+ yrs.) 200 million (25+ yrs.) Number of cars per household: 2.5 Number of households in the U.S.: 105 million Minimum wage: approx. $5 per hour While you certainly shouldn't go and memorize the census report, there are certain statistics that you should be familiar with in order to help you solve cases. You should also be familiar with general demographic trends (i.e. Gen-Xers vs. Baby-Boomers and income distribution)
- 17. India Basic Statistics Population of the world: 6.2 billion Population of India: 1000 million Number of adults in India: 530 million (18+ yrs.) 440 million (21+ yrs.) Number of cars per Household: 0.02 Number of households in India: 180 million Minimum wage: approx. 15 rupees per hour While you certainly shouldn't go and memorize the census report, there are certain statistics that you should be familiar with in order to help you solve cases
- 18. Interviewing Styles <ul><li>Detailed introduction of case </li></ul><ul><li>Specific problem to be solved </li></ul><ul><li>A few starter facts </li></ul><ul><li>Many additional facts available, if asked </li></ul><ul><li>Conversational feel throughout case interview </li></ul>Detailed Problem <ul><li>Brief introduction </li></ul><ul><li>Very broad description of problem (e.g. poor performance) </li></ul><ul><li>Few, if any facts available </li></ul><ul><li>“ What do you think” responses to many questions </li></ul>Conceptual Problem Case Descriptions Two Extremes Every interviewer will have a different interview style. When explaining a case you must feel comfortable with each of the different approaches and be able to adapt your approach
- 19. Types of Cases <ul><li>Special Cases </li></ul><ul><li>Engineering </li></ul><ul><li>Economics </li></ul><ul><li>Data Analytics </li></ul><ul><li>Puzzles </li></ul><ul><li>Miscellaneous </li></ul>Strategy Brain-Teasers The types of cases you are likely to encounter will generally fit into one of three distinct groups Types of Cases
- 20. Strategy Cases Types of Strategy Cases Costs Revenues Marketing Strategy cases generally involve one or more of the following three issues, but these certainly do not represent the universe of possible scenarios
- 21. Frameworks for Approaching Strategy Cases – The Four P's <ul><li>What product do you want to sell? </li></ul><ul><li>What product are you able to produce? </li></ul><ul><li>What advantages does your product offer? </li></ul><ul><li>What price must you charge to make a profit? </li></ul><ul><li>What price are consumers willing to pay? </li></ul><ul><li>What price are your competitors charging? </li></ul><ul><li>Where is there a demand for your product? </li></ul><ul><li>Where are your suppliers located? </li></ul><ul><li>What distribution channels are being used? </li></ul><ul><li>Who is your target audience? </li></ul><ul><li>How do you reach them? </li></ul><ul><li>How much do you want to spend on promotions and advertising? </li></ul>The Four P's Product Price Place Promotion While you probably do not want to make it obvious that you are using an economic framework to solve a case, employing the underlying logic should help you structure your argument and solidify your analysis. One popular framework is the Four P's:
- 22. Frameworks for Approaching Strategy Cases – The Four C's <ul><li>What do the customers want and need? </li></ul><ul><li>How will you satisfy those needs? </li></ul><ul><li>What is most important to the customers? </li></ul><ul><li>How much will they pay for it? </li></ul><ul><li>What are your competitors doing? </li></ul><ul><li>What are their strengths and weaknesses? </li></ul><ul><li>How are they meeting the customer's demand? </li></ul><ul><li>What is their cost structure? </li></ul><ul><li>What are your company's capacities: </li></ul><ul><li>- financial </li></ul><ul><li>- organizational </li></ul><ul><li>- production </li></ul><ul><li>- marketing? </li></ul><ul><li>What are your strengths and weaknesses? </li></ul><ul><li>What is your cost structure? </li></ul><ul><li>- fixed costs </li></ul><ul><li>- variable costs </li></ul><ul><li>How have your costs changed over time? </li></ul>The Four C's Customers Competitors Capacity Costs Another helpful framework in approaching a strategy case is the Four C's
- 23. Framework for Approaching Strategy Cases – Marketing Strategy Model Marketing Strategy Model Consumer Analysis Competition Distribution Marketing Mix Economics <ul><li>What is the relevant market? </li></ul><ul><li>Who is buying and who is using the product? </li></ul><ul><li>What is the buying process? </li></ul><ul><li>How can I segment the market? </li></ul><ul><li>What are your company's strengths and weaknesses? </li></ul><ul><li>What are your competitor's strengths and weaknesses? </li></ul><ul><li>What is your relative size and position in the market? </li></ul><ul><li>How do your resources differ from those of your competitors? </li></ul><ul><li>What are the costs? </li></ul><ul><li>What is the break even? </li></ul><ul><li>How long is the payback on my investment? </li></ul><ul><li>How does my product fit with my other products? </li></ul><ul><li>How will I differentiate my product? </li></ul><ul><li>How does the product life cycle affect my plans? </li></ul><ul><li>How can my product reach the consumer? </li></ul><ul><li>How much do the players in each distribution channel profit? </li></ul><ul><li>Who holds the power in each distribution channel available? </li></ul>Start While it is slightly more complex than the previous frameworks, the marketing strategy model provides an excellent frame of reference for marketing cases
- 24. Brain teasers and Special Cases <ul><li>Ability to breakdown a complex problem into simple steps </li></ul><ul><li>Conceptual reasoning skills </li></ul><ul><li>Logical reasoning </li></ul><ul><li>Quantitative skills </li></ul><ul><li>Basic Economics Knowledge </li></ul><ul><li>Basic Engineering Knowledge </li></ul><ul><li>Creativity </li></ul>Brain Teasers and Special Cases are meant to test the following ..
- 25. If You Get in a Jam… <ul><li>Pause to collect your thoughts. Remaining silent is better than blurting out an incoherent thought </li></ul><ul><li>Recount what you already know to the interviewer. By reviewing what you know about the case, the next step often becomes more clear </li></ul><ul><li>Don't give up. Interviewers are judging your poise and maturity in addition to your problem-solving skills </li></ul>
- 26. Summary
- 27. Summary <ul><li>Force-fitting a framework that just doesn't work </li></ul>... but there are inappropriate approaches <ul><li>Ignoring or forgetting important facts </li></ul><ul><li>Defending impractical solutions </li></ul>There is no single “right” answer…
- 28. Appendix
- 29. <ul><li>Sample General Cases </li></ul><ul><li>Sample Special Cases </li></ul><ul><li>Sample Data Analytics Cases </li></ul><ul><li>Additional Resources </li></ul>Appendix
- 30. Sample General Cases
- 31. General Cases Case #1 Case #2 Case #3 You are visiting a new client who sells golf balls in the United States. Having had no time to do background research, you sit on the plane wondering what is the annual market size for golf balls in the U.S. and what factors drive demand. Your plane lands in 15 minutes; how would you go about answering these questions? Why is there no light beer in the UK? You have been called in by a Big 4 accounting firm that is experiencing declining profitability in its auditing operation. What levers would you push to help improve profitability? Hypothetical Approach • Golf balls sales are driven by end-users. You have to determine the number of end-users; this will be some fraction of the total U.S. population (say 300 million to make my math easier). First assume a uniform age distribution and an average life expectancy of 80 years. Then assume that only people in the ages 20-70 will be potential buyers. Thus you eliminate 30 to 80 years or 3/8 of the 300 million population. So, now you are down to a potential buyer pool of about 110 million. Now you might estimate how many people out of 10 play golf – say 4 – so now 4/10 of 110 gets you down to 44 million people who play golf. Now you have to estimate purchase frequency, how many balls per month an average person buys (you may want to temper this “average purchase” assumption by at least mentioning that retired people play more than students). A good guess might be 15. So demand per month is now 15 x 44 million or 660 million. Finally, you need to estimate the number of months per year that people play golf – 12 months in good climate regions, maybe 5 in regions with cold winters – so on average 8 is a decent estimate: 8 x 660 = 5.280 million golf balls per year Hypothetical Approach • Whenever you hear “declining profitability,” start with basic profitability analysis. Determine whether this is a revenue problem, cost problem or both. Hypothetical Approach • This problem does not fit in common framework, but it can be dissected by simply listing the alternative reasons for each component of the issue. Here is one approach: • The reason there is no light beer could be because (1) consumers do not demand it, (2) producers are not producing it, despite consumer demand, or (3) some outside influence, such as the government, will not permit light beer in the country. Following the producer option, one can subdivide the problem as nobody wants to sell light beer in the UK or somehow, light beer producers are blocked out of the UK The following sample cases have been compiled from Kellogg’s, Stern’s, and Tuck’s Consulting Club Guides to management consulting cases. They are intended to assist you in preparing for your case interview. The suggested approaches are by no means the only approach you could take, but rather are the ones authors of these guides thought were most appropriate
- 32. General Cases (Cont’d) Case #4 Case #5* Your client is going to build a skyscraper, but is not sure how many stories to make it. How should he decide? The airline industry is characterized by low returns and stiff competition. In the early years after deregulation, discount carriers like People Express sprang up. Years later the discounters have gone out of business. In a price-competitive industry, why is it that the higher-cost carriers were able to survive and the low-cost ones weren't? Hypothetical Approach • This is an economic supply/demand mind tease. Clearly you don't want to lose money on the deal. The building will house tenants, who will pay to reside there. The costs of building and maintaining the structure (both fixed and incremental by story) need to be compared to revenue-generating capability of the project. When marginal revenue equals marginal cost you stop adding stories Hypothetical Approach These are some of the basic issues to be fleshed out: • Characteristics of discounters: – Low fares – Limited service • Characteristics of major carriers: – Higher fares, but better coverage and service – Hub systems channeling traffic • Competitive moves by majors: Innovative use of information technology for yield management and differential pricing 1) Basically they priced every seat individually based on continuously monitoring supply/demand 2) They wooed leisure customers with fares lower than discounters and charged more from business travelers (indifferent to price but sensitive to service frequency) 3) They stole the discounters' market and forced them out * This case is too complex for BA candidates. Included here for illustrative purposes only
- 33. General Cases Guesstimates Examples There are approximately 6 billion people in the world. Lets assume that a third live in areas where they cannot get credit cards (rural areas, poverty stricken areas, etc.). Of the 4 billion remaining lets assume three quarters are adults (in the U.S. it’s 4/5, but we have a slower birth rate than many countries). Of the 3 billion adults a third don't carry credit cards (they have bad credit, don't believe in credit cards, are unemployed, etc.). Of the 2 billion adults who carry credit cards, each carries on average of 3 cards (Visa, Mastercard, American Express). Resulting in 6 billion credit cards in the world. Yankee Stadium holds approximately 50,000 fans. There are approximately 150 additional people working at the stadium. Of the workers each either carry approximately 40 quarters or have 40 in their cash registers to provide change to customers for a total of 6,000 quarters. Of the fans approximately 4/5 are male. Of that 40,000 half are like my dad and have about 10 quarters in their pockets at any given time for a total of 200,000 quarters. Of the remaining 20,000 half have no quarters, and half have 6 quarters to ride the subway home for a total of 60,000 quarters. Of the 10,000 women half have 12 quarters for them and their husbands/boyfriends to ride the subway home, and half have 1 quarter to call someone in an emergency for a total of 65,000 quarters. For a grand total of 331,000 quarters in Yankee Stadium. There are approximately 250 million people in the U.S. Of those about half are women. Of the 125 million women 4/5 are adults. Of the 100 million adult women about 3/4 wear either pierced or clip-on earrings for a total of 75 million people. Of the 25 million girls about 1/5 get their ears pierced or start wearing earrings each year and about 2/5 already have until the full 3/4 wear earrings by the time they are adults for a total of approximately 15 million girls at any given time. Of the 125 million men, 4/5 are adults. Of the 100 million adult men about 1/20 wear earrings (based on my personal experience, but obviously subjective) for a total of 5 million. Of the 25 million boys only about 1/50 have parents who will let them wear earrings for a total of .5 million boys. For a grand total of 95.5 million people wearing earrings. How many credit cards are there in the world? How many quarters are there in Yankee stadium during a sold out game? How many people in the U.S. wear earrings? While most cases fall into the strategy category, there are several cases that are brain-teasers. These cases are meant to test your quantitative ability and general logical reasoning skills $
- 34. Sample Special Cases
- 35. Special Cases Engineering Case Economics Case Miscellaneous What is the minimum number of 1 " x 1" x 1" cubes needed to make a 10" x 10" x 10" cube? Assume that the overhead cost to produce a computer is $10,000 and the variable cost is $5,000 per computer, graph the variable cost, fixed cost, total cost and total cost per unit. Why are manhole covers round? <ul><li>First assume that the cube is hollow, then since each side must be 10 inches in dimensions ten 1" x 1" x 1" cubes are needed for each side. However, each corner piece will have 3 sides showing, while each outside non-corner piece will have 2 sides showing and each inside piece will have only 1 side showing. Thus, we must break down the problem into the three distinct types of pieces. </li></ul><ul><ul><li>Corner Pieces: A cube has 4 corner pieces per each of its 6 sides. Since each corner piece has 3 sides showing, only 8 cubes (4 x 6 ÷ 3) are needed to create the corners. </li></ul></ul><ul><ul><li>Non-corner outside pieces: For the non-corner outside pieces a total of 8 (10 - 2 corners) are needed per direction. Thus, since there are 4 directions per side a total of 32 (8 x 4) cubes are needed per side. Since each non-corner outside piece has two sides showing a total of 96 cubes (32 x 6 ÷ 2) are need to create the non-corner outside pieces. </li></ul></ul><ul><ul><li>Inside pieces: A total of 64 inside corner cubes are needed per side to create the inside pieces. (i.e. 100 - 4 [corners] - 32 [non-corner outside]). Since, there are 6 sides a total of 384 cubes will be needed for the inside. </li></ul></ul><ul><ul><li>Total: Thus, 488 1" x 1" x 1" cubes (8 + 96 + 384) are needed to create a 10" x 10" x 10" cube. </li></ul></ul><ul><li>Alternative Solution: Subtract the inside cubes from the volume (i.e. 10 x 10 x 10 - (8 x 8 x 8)= 488 cubes). </li></ul>So that they can't fall in. To provide the greatest opening width for the least total opening area and therefore save on material costs. 0 1 2 3 4 5 6 7 8 9 10 0 10,000 20,000 30,000 40,000 50,000 $60,000 Fixed Cost Variable Cost Fixed + Variable Costs Volume (# Computers) $0 1 2 3 4 5 6 7 8 9 10 Volume (# Computers) ($/Unit) There are a variety of other types of cases which you may be asked. They will focus on your ability to think conceptually, business acumen, and creativity Examples 4,000 8,000 12,000 $16,000 Total Cost Variable Cost
- 36. Special Cases - Puzzles * Fresh BA’s are not expected to have SAS knowledge. Sample case included for illustration only Puzzle #1 Puzzle #2 A Little nation has its gold coins manufactured by eight different European companies. The Treasury Minister and his secretary were examining samples just delivered from the eight companies. "How much should these coins weigh?" the Minister asked. "Ten grams each, Sir." "At least one of these coins - this one - is lighter than the others," said the Minister. "Let's check." He put the coin on the scale, which showed that the coin weighed only nine grams. A bunch of coins, untidily placed on a tray, were frantically searched by the Minister and his secretary. Within the bunch, they found a handful of coins that also weighed one gram less than they should. The two men looked at each other; obviously, one of the manufacturing companies was producing coins with the wrong weight. "Most of the coins are still packed in the plastic wrappers. It should be easy to tell which company is producing the faulty batch," said the secretary. The two men placed eight packs of coins on the table, one pack from each company. "How tedious," sighed the Minister. "Do we really have to use this scale eight more times, just to find the faulty batch of coins?" "That won't be necessary, Sir," grinned the secretary. "We can find the lighter coins by using the scale only once."? How is it possible? One day Arthur came to Merlin and asked him, "Show me how to be a wise and good king." Merlin replied, "If you can pass a series of mental tests, I will teach you". Merlin then showed Arthur three chests, one was labelled GOLD COINS, the second was labelled SILVER COINS, and the last, GOLD OR SILVER COINS. He stated that all the three labels were all on the wrong chests. Given that one chest contained gold, one silver, and one bronze. How many chests must Arthur open to deduce which label goes on which chest? The secretary placed on the scale 1 coin from the first batch, 2 from the second, and so on until he put 8 from the eighth batch. If all coins weighed 10 grams each, then the weight displayed on the scale should have been 360 grams ((1 + 2 + ... + 8) × 10). But, since one batch of coins weighs less, the difference between 360 grams and the weight displayed on the scale should point us to the faulty batch. Arthur does not need to open any chests. Since all labels are on the wrong chests, the chest labelled GOLD OR SILVER COINS cannot contain either gold nor silver, so must contain bronze. Thus the chest labelled GOLD COINS must contain silver coins, and SILVER COINS must contain gold. Puzzle cases are intended to test your conceptual reasoning and ability to think logically
- 37. Sample Data Analytics Cases
- 38. Sample Data Analytics Cases Math Combinatorics Analysis A thin membrane covers the surface of the (spherical) earth. One square meter is added to the area of this membrane to form a larger sphere. How much is added to the radius and volume of this membrane? n people each know a different piece of gossip. They can telephone each other and exchange all the information they know (so that after the call they both know anything that either of them knew before the call). What is the smallest number of calls needed so that everyone knows everything? What is the longest time that a particle can take in traveling between two points if it never increases its acceleration along the way and reaches the second point with speed V? <ul><li>V = (4/3)*pi*r^3 and A = 4*pi*r^2 </li></ul><ul><li>Need to find out how much V increases if A increases by 1 m^2 </li></ul><ul><li>dV / dr = 4 * pi * r^2 dA / dr = 8 * pi * r dV / dA = (dV / dr) / (dA / dr) = (4 * pi * r^2) / (8 * pi * r) = r/2 = 3,250,000 m </li></ul><ul><li>If the area of the cover is increased by 1 square meter, then the volume it contains is increased by about 3.25 million cubic meters. </li></ul><ul><li>We seem to be getting a lot of mileage out of such a small square of cotton. However, the new cover would not be very high above the surface of the planet -- about 6 nanometers (calculate dr/dA). </li></ul><ul><li>Assumptions: </li></ul><ul><ul><li>x(0) = 0; </li></ul></ul><ul><ul><li>x(T) = X 2. </li></ul></ul><ul><ul><li>v(0) = 0; </li></ul></ul><ul><ul><li>v(T) = V 3. </li></ul></ul><ul><ul><li>d(a)/dt <= 0 </li></ul></ul><ul><li>Solution </li></ul><ul><ul><li>a(t) = constant = A = V^2/2X which implies T = 2X/V. </li></ul></ul><ul><li>Proof: </li></ul><ul><ul><li>Consider assumptions as they apply to f(t) = A * t - v(t): 1. integral from 0 to T of f = 0 2. f(0) = f(T) = 0 3. d^2(f)/dt^2 <= 0 From the mean value theorem, f(t) = 0. </li></ul></ul><ul><li>1 for n=2 </li></ul><ul><li>3 for n=3 </li></ul><ul><li>2n-4 for n>=4 </li></ul><ul><li>This can be achieved as follows: choose four people (A, B, C, and D) as the "core group". </li></ul><ul><li>Each person outside the core group phones a member of the core group (it doesn't matter which); this takes n-4 calls. </li></ul><ul><li>Now the core group makes 4 calls: A-B, C-D, A-C, and B-D. At this point, each member of the core group knows everything. </li></ul><ul><li>Now, each person outside the core group calls anybody who knows everything; this again requires n-4 calls, for a total of 2n-4. </li></ul>The following sample cases have been compiled with input from Inductis associates and managers. They are intended to assist you in preparing for your interview
- 39. Special Data Analytics Cases (Contd.) Probability and Statistics Likelihood Estimation Mathematical A red and a white die are rolled. Let event C = {5 on red die} and event D = {sum of dice 11}. The 36 outcomes have equal likelihood. Are events C and D independent? Let X 1 , X 2 , …,X N be a random sample from geometric distribution with p.m.f. f(x; p ) = (1- p ) x-1 , x=1,2,3… What is the maximum likelihood estimator of p (derive)? Without finding their numerical values, which is greater, e^(pi) or (pi)^e? <ul><li>Of the 36 events: </li></ul><ul><li>- 6 are favorable to C, </li></ul><ul><li>- 2 are favorable to D, </li></ul><ul><li>- and 1 is favorable to C ∩ D. Therefore: </li></ul><ul><li> </li></ul><ul><li>P(C) * P(D) = (6/36)*(2/36) = (1/108) ≠ (1/36) = P(C ∩ D) </li></ul><ul><li>Hence, dependent events </li></ul><ul><li>e^(pi) </li></ul><ul><li>Put x = pi/e - 1 in the inequality e^x > 1+x (x>0) </li></ul>Data Analytics cases will address specialized statistics, mathematics and logical knowledge Examples Likelihood function is L(p) = (1 – p) x 1 -1 p(1 – p) x 2 -1 p…….(1-p) x n -1 p = p N (1 - p) x i -n , 0 < p <1 Ln L(p) = nlnp + ( n i=1 x i-n ) ln(1-p) 0 < p < 1 Since we restrict p to (0, 1) , take derivative: d ln L(p) = n - n i=1 x i -n = 0 Solve for p: P = n = 1 => M.I.E(p) = p = n = 1 n i=1 x i X ^ n i=1 x i X
- 40. Sample Data Analytics Cases Sample SAS* Case SAS Dataset Sample Problem Create a new variable, which contains the means over time for each company * Fresh BA’s are not expected to have SAS knowledge. Sample case included for illustration only <ul><li>Problem Rationale </li></ul><ul><li>A simple problem that would be given to anyone that claims they have experience with SAS, or those that admit to having moderate experience. There are many ways of getting to the answer, but what is critical is whether candidates start running loops over the data or use some of SAS’s in-built basic functionalities, such as PROC MEANS, SUMMARY, SORT, DATA step, etc. </li></ul><ul><li>Usually, this type of a problem can be easily extended to become more involved, but this is always one of the first steps. </li></ul><ul><li>This type of a question reveals how candidates think about datasets. </li></ul>SAS dataset with yearly revenues by state for three telecommunication companies SAS cases are designed for data analytics candidates to test basic SAS knowledge as well as approach towards datasets
- 41. Additional Resources
- 42. Additional Resources to Consult Before Your Interview <ul><li>Ace Your Case! The Essential Management Consulting Case Workbook </li></ul><ul><ul><li>Wet Feet Press 1-800-926-4JOB </li></ul></ul><ul><li>Competitive Advantage </li></ul><ul><ul><li>Michael Porter </li></ul></ul><ul><li>Competitive Strategy </li></ul><ul><ul><li>Michael Porter </li></ul></ul><ul><li>The Consulting Resource Packet </li></ul><ul><ul><li>Wharton Career Development & Placement (Packet #13) </li></ul></ul><ul><li>Harvard Business School Career Guide: Management Consulting </li></ul><ul><ul><li>Harvard Business School Press 1-800-545-7685 </li></ul></ul><ul><li>The Ten Day MBA </li></ul><ul><ul><li>Steven Sillbiger </li></ul></ul><ul><li>Case Interviews at Consulting Firms Websites </li></ul><ul><ul><li>Wet Feet Press 1-800-926-4JOB </li></ul></ul><ul><ul><li>http://www.mckinsey.com/careers/apply/interviewingtips/casestudy/index.asp </li></ul></ul><ul><ul><li>http://www.bcg.com/careers/interview_prep/practice_cases.jsp </li></ul></ul><ul><ul><li>http://www.bain.com/bainweb/Join_Bain/case_interviews.asp </li></ul></ul>

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