Degrees of Freedom for Independence in Two-Way Table

Degrees of Freedom for Independence in Two-Way Table The number of degrees of freedom for independence of two categorical variables is given by a simple formula:   (r - 1)(c - 1).   Here r is the number of rows and c is the number of columns in the two way table of the values of the categorical variable.   Read on to learn more about this topic and to understand why this formula gives the correct number. Background One step in the process of many hypothesis tests is the determination of the number degrees of freedom.   This number is important because for probability distributions that involve a family of distributions, such as the chi-square distribution, the number of degrees of freedom pinpoints the exact distribution from the family that we should be using in our hypothesis test. Degrees of freedom represent the number of free choices that we can make in a given situation. One of the hypothesis tests that requires us to determine the degrees of freedom is the chi-square test for independence for two categorical variables. Tests for Independence and Two-Way Tables The chi-square test for independence calls for us to construct a two-way table, also known as a contingency table. This type of table has r rows and c columns, representing the r levels of one categorical variable and the c levels of the other categorical variable. Thus, if we do not count the row and column in which we record totals, there are a total of rc cells in the two-way table. The chi-square test for independence allows us to test the hypothesis that the categorical variables are independent of one another. As we mentioned above, the r rows and c columns in the table give us (r - 1)(c - 1) degrees of freedom. But it may not be immediately clear why this is the correct number of degrees of freedom. The Number of Degrees of Freedom To see why (r - 1)(c - 1) is the correct number, we will examine this situation in more detail. Suppose that we know the marginal totals for each of the levels of our categorical variables. In other words, we know the total for each row and the total for each column. For the first row, there are c columns in our table, so there are c cells. Once we know the values of all but one of these cells, then because we know the total of all of the cells it is a simple algebra problem to determine the value of the remaining cell. If we were filling in these cells of our table, we could enter c - 1 of them freely, but then the remaining cell is determined by the total of the row. Thus there are c - 1 degrees of freedom for the first row. We continue in this manner for the next row, and there are again c - 1 degrees of freedom. This process continues until we get to the penultimate row. Each of the rows except for the last one contributes c - 1 degrees of freedom to the total. By the time that we have all but the last row, then because we know the column sum we can determine all of the entries of the final row. This gives us r - 1 rows with c - 1 degrees of freedom in each of these, for a total of (r - 1)(c - 1) degrees of freedom. Example We see this with the following example.   Suppose that we have a two way table with two categorical variables.   One variable has three levels and the other has two.   Furthermore, suppose that we know the row and column totals for this table: Level A Level B Total Level 1 100 Level 2 200 Level 3 300 Total 200 400 600 The formula predicts that there are (3-1)(2-1) 2 degrees of freedom.   We see this as follows.   Suppose that we fill in the upper left cell with the number 80.   This will automatically determine the entire first row of entries: Level A Level B Total Level 1 80 20 100 Level 2 200 Level 3 300 Total 200 400 600 Now if we know that the first entry in the second row is 50, then the rest of the table is filled in, because we know the total of each row and column: Level A Level B Total Level 1 80 20 100 Level 2 50 150 200 Level 3 70 230 300 Total 200 400 600 The table is entirely filled in, but we only had two free choices.   Once these values were known, the rest of the table was completely determined. Although we do not typically need to know why there are this many degrees of freedom, it is good to know that we are really just applying the concept of degrees of freedom to a new situation.

Run a Diesel on Waste Vegetable Oil (WVO)

Run a Diesel on Waste Vegetable Oil (WVO) So, you’re here because you’re curious about the process of running a diesel engine on waste vegetable oil gathered from a restaurant? Well, good for you. Our guess is that in addition to still having the first nickel you ever earned tucked between your mattress and box spring, you no longer want to contribute to all the nastiness that goes along with America’s dependence on fossil fuel. Give yourself a pat on the back. We’re conservationists. People who don’t want to use more of this world’s resources than necessary, and we place a priority on getting a little more mileage out of stuff that most people would toss aside. We’re also rugged individualists. People who don’t like to depend on others when they can depend on themselves. Run a Diesel on Waste Vegetable Oil: A Reality Check By now, you’ve probably read all of the waste veggie oil propaganda: diesel engines run fine on vegetable oil, just as they were originally designed to; restaurants are dying to get rid of this viable fuel alternative - to them it’s a waste product; burning veggie oil is better for the planet than burning fossil. As far as we’ew concerned, all of that is true. But going into this you also need to know that there are no free lunches and no free rides. Yes, you will save money, but you’ll be trading off valuable time out of your life. Compare burning waste vegetable oil in your car to another popular grassroots sustainable energy process: burning wood to heat your house. If you’ve ever cut, split and stacked enough firewood to last through a cold winter, you know what were talking about. It saves you money out of pocket, but it’s going to cost you some sweat and maybe even a minor flesh wound or two. Run a Diesel on Waste Vegetable Oil: Things to Keep in Mind First, if you make a deal with a restaurant to collect their oil, you need to do so in a prompt, professional manner. In my case, the restaurant had little storage space and was eager to get rid of their waste oil when they had a few containers filled up, lest they get cited for having it around in the event of a health department inspection. So when the manager of that fine establishment called, she expected me to get over and collect the oil, pronto. Next, you have to store the oil. I have two clean 55 gallon drums in which I store my filtered oil, but the five-gallon containers I get from the restaurant get stacked up in the corner of my garage until I get around to the next step. Which is... Filtering. There will be food particles suspended in the oil and, before you can burn it in your car, you need to get them out. This isn’t brain surgery, but it can be tedious if you’re doing it the old-fashioned way like I do it, pouring the oil through strainers by hand. There are more effective ways, but it will involve buying additional equipment, a pump, hose, spin on filters etc. Then there’s the waste. My oil is given to me in five-gallon plastic containers inserted in cardboard boxes. These are recyclable, but you’ll have to clean out the containers or risk drawing the ire of the folks at the local transfer station. Ditto for the cardboard. If it’s soaked in oil, they might reject it, which means you’ll be sending it to the landfill. In addition to the packaging waste, you will also invariably have some oil at the bottom of the containers that are so polluted with charred food that it’s virtually unusable. You’re going to need to get rid of this too, unless you plan on taking the time to clean it and burn it. Run a Diesel on Waste Vegetable Oil: Modifying the Vehicle You need to modify your vehicle to burn WVO. If you are planning to burn WVO in a car that is under warranty, first off, I think you’re out of your mind, and second, this will definitely void said warranty. The best kit on the market  is the Greasecar kit. It costs about $1,000, less installation. If you can’t do it yourself, then at $80 an hour, which is what most repair shops charge, you could be looking at more than $1,000 for installation. In fact, Greasecar charges between $1,000 - $1,400 for installation. If you’re driving 15,000 miles a year in a VW diesel that gets 40 mpg, it’s going to take you more than a year just to pay off the price of the kit and the installation. Run a Diesel on Waste Vegetable Oil: Maintenance It’s possible to filter all of the fryer junk out of the oil before you dump it in your car, but for some reason, I’m never able to. So you’re going to have to change the filters on your car more frequently than you ever had to while burning diesel. This isn’t a big deal, but it is one more step in the process that people who just pull up to the pump, fill up and then drive off, never have to deal with. And if you drive too far with a clogging filter, you could be left on the side of the road facing a $200 tow bill. (This happened to me). And there goes some of your savings. Run a Diesel on Waste Vegetable Oil: Final Thoughts Its important to understand that burning WVO isn’t as straightforward as some might lead you to believe. It is interesting and rewarding but will require some work on your part. But, hey, we’re conservationists and rugged individualists. We don’t give up after hearing a little straight talk, right?

Assignment 3 Essay Example | Topics and Well Written Essays - 1000 words - 1

Assignment 3 - Essay Example Furthermore an understanding and integration of filtering, meaning watching, and meaning constriction also will be discussed. It is the hope of this author that through such an analysis the means by which individuals are marketed to as well is the means by which individuals relate to and understand marketing will be understood to a further degree. The first of the magazines which will be analyzed within this brief discussion is that of â€Å"Woman’s Day†. Exhibition of the niche market and segmentation that â€Å"Woman’s Day† represents is instantly noted by its cover. Whereas the covers of nearly every surrounding magazine have pictured upon them stylize, airbrushed, and otherwise unreasonable representations of beauty, the current edition of â€Å"Woman’s Day† features upon its cover representations of several culinary treats. As a function of the representation of food, and the overtly obvious title that the magazine exhibits, the individu al understands that this particular magazine is geared specifically towards a female audience most likely between the ages of 30 to 65. Accordingly the lifestyle that is exhibited by such market segmentation is likely that of a homemaker; or at least an individual that is highly interested in cooking and homemaking. Naturally the values and attitudes that such a magazine seeks to express are somewhat more muted and conservative than many of the other offerings that might be seen within a local magazine rack. Conversely, with respect to the magazine â€Å"Seventeen†, the subject matter is almost entirely different. As one can see both from the title and the highly sexualized imagery available on the front cover, the magazine seeks to integrate with a young consumer that is highly conscious of their clothing, busy, and overall sex of fuel. As a function of this nearly every single article that is advertised on the cover speaks to some if not all of these three subcategories of interest. Although it cannot be definitively stated by this author the upper bounds of the age group that â€Å"Seventeen† magazines might appeal, it is safe to assume that the magazine is most certainly geared towards an audience between the ages of 15 to 27 years of age. Although broad statements cannot be made with regards to the values attitudes and lifestyle of the consumer that might integrate with such a magazine, it is also safe to assume that these will necessarily be more liberal, relaxed, and open-minded than those the VALS that were exhibited within the market segmentation and representation of â€Å"â€Å"Woman’s Day†Ã¢â‚¬ . Finally, with regards to â€Å"Maxim† magazine the demographic and segmentation that is targeted and marketed to is almost exclusively male. â€Å"Maxim† represents a unique case due to the fact that many of the market strategies that are employed to sell the magazines are not entirely unlike the same marketing s trategies and segmentations that the pornography industry utilizes to sell their magazines. Accordingly, from a cursory review of cover as well as the stories, the main thrust of the magazine is concentric upon male sex drive. As such females are represented, both on the cover and inside magazine, and highly erotic (albeit clothed) poses whereas the stories that the company these representations are almost always concentric upon what might be understood as typical male behavior. As with â€Å"

UPS Company Strategy Case Study Example | Topics and Well Written Essays - 1500 words

UPS Company Strategy - Case Study Example It goes without saying that drivers of organizational change vary across organizations and businesses. However, the main drivers of organizational change can be summarized as follows: (1) information availability and distribution; (2) the pace of technological advancement; (3) the growing availability of technologies; (4) increased business competition; (5) rapid shifts in the global labor and product markets; (6) changes in environmental responsibility and requirements; and (7) changing customer expectations and demands (John, Cannon & Pouder 2001). More often than not companies operating in the present day business environment pursue change to align their strategic goals with the emerging information capabilities and, consequentially, use them to meet the rising consumer demands. As the number of companies in the logistics industry increases, the ability to satisfy customer satisfaction in the most cost-effective manner becomes the main source of companies’ competitive advantage. Nevertheless, the number of challenges faced by companies in the global market does not decrease. â€Å"Integrating activities both within and beyond organizational boundaries has become a major challenge at century’s end and will likely continue for the foreseeable future† (John, Cannon & Pouder 2001, p.145). ... The diversification of companies in the logistic market had the potential to distract UPS consumers with more attractive rates, prices, and services. Second, before the 1990s discipline and efficiency had always been the company’s top strategic priorities. According to Garvin and Levesque (2001), along with discipline and efficiency, continuous improvement had been the company’s principal legacy. The company had historically operated in the atmosphere of constructive dissatisfaction, which further instilled the values of continuous improvement and service excellence on company employees (Garvin & Levesque 2001). The historical commitment to efficiency and discipline and continued attention towards operations left many customers dissatisfied. Apart from the fact that UPS failed to envision changes in customer preferences and demands, discipline and efficiency left little room for monitoring changes in the external business environment. Finally, UPS had never had a formal strategic planning process, which made the implementation of strategic innovations difficult and problematic. As the entire world was changing, UPS definitely needed a fresh breath, and the new CEO had to restructure the company’s basic operations. Since the beginning of the new millennium UPS was constantly trying to define how exactly it could develop and sustain a competitive advantage. The creation of the new strategic planning process became part of the strategic innovations within UPS. Looking further into 2017, UPS anticipates that understanding the factors and forces affecting its market position will become its main strategic goal for years ahead (Garvin & Levesque

The Power of a Woman :: essays research papers fc

The Power of a Woman The familiar saying "Behind every great man is an even greater woman" can certainly hold true in many cases. A woman may very well be the driving force behind any successful man. However, a woman can also use her strong influence in a negative way. This can be seen in Macbeth, where Lady Macbeth is the evil force behind Macbeth's cruelty and evil doings. In Shakespeare's Macbeth, Lady Macbeth is the main reason that Macbeth is transformed from a noble, respected Thane into a ruthless, murderous character. Lady Macbeth fuels his inner desire for power and brings forth his greed and ambition, which both eventually lead to his downfall. The tactics that Lady Macbeth use to drive her husband to this downfall are manipulation, dominance, and her evil nature. Lady Macbeth manipulates Macbeth into believing that he is a coward and a bad husband, which persuades him to agree to the murder of King Duncan. She dwells on the fact that he is a coward, when she says "My hands are of your colour, but I shame/ to wear a heart so white" (2.2.64-65). This instills feelings of embarrassment into his mind, and manipulates him into believing that if he does not murder King Duncan, he will be a weak, cowardly man. Not only is she challenging his manhood, by appearing to be the stronger and braver of the two, but also, by calling his heart "white", she is criticizing his cowardice. The fact that his wife is undermining his masculinity causes Macbeth to want to be stronger, and not to appear weak and timid. When Lady Macbeth yells "Infirm of purpose! Give me the daggers. The sleeping and the dead/ are but as pictures. 'Tis the eye of childhood/ that fears a painted devil" (2.2.53-55), she further contributes to the shame which she has driven into Macbeth's mind. She bluntly tells him that he is acting like a weak, nervous child, and insults him for being afraid of something that is already dead! This shame encourages Macbeth to want to consent to his wife's plan. Another method which Lady Macbeth uses to manipulate her husband's mind is by making him feel guilty for being a bad husband, who breaks his promises: "What beast was't then/ that made you break this enterprise to me?" (1.7.47-48). She knows that by saying this, he will feel remorse for breaking a promise to his wife whom he loves so much. The Power of a Woman :: essays research papers fc The Power of a Woman The familiar saying "Behind every great man is an even greater woman" can certainly hold true in many cases. A woman may very well be the driving force behind any successful man. However, a woman can also use her strong influence in a negative way. This can be seen in Macbeth, where Lady Macbeth is the evil force behind Macbeth's cruelty and evil doings. In Shakespeare's Macbeth, Lady Macbeth is the main reason that Macbeth is transformed from a noble, respected Thane into a ruthless, murderous character. Lady Macbeth fuels his inner desire for power and brings forth his greed and ambition, which both eventually lead to his downfall. The tactics that Lady Macbeth use to drive her husband to this downfall are manipulation, dominance, and her evil nature. Lady Macbeth manipulates Macbeth into believing that he is a coward and a bad husband, which persuades him to agree to the murder of King Duncan. She dwells on the fact that he is a coward, when she says "My hands are of your colour, but I shame/ to wear a heart so white" (2.2.64-65). This instills feelings of embarrassment into his mind, and manipulates him into believing that if he does not murder King Duncan, he will be a weak, cowardly man. Not only is she challenging his manhood, by appearing to be the stronger and braver of the two, but also, by calling his heart "white", she is criticizing his cowardice. The fact that his wife is undermining his masculinity causes Macbeth to want to be stronger, and not to appear weak and timid. When Lady Macbeth yells "Infirm of purpose! Give me the daggers. The sleeping and the dead/ are but as pictures. 'Tis the eye of childhood/ that fears a painted devil" (2.2.53-55), she further contributes to the shame which she has driven into Macbeth's mind. She bluntly tells him that he is acting like a weak, nervous child, and insults him for being afraid of something that is already dead! This shame encourages Macbeth to want to consent to his wife's plan. Another method which Lady Macbeth uses to manipulate her husband's mind is by making him feel guilty for being a bad husband, who breaks his promises: "What beast was't then/ that made you break this enterprise to me?" (1.7.47-48). She knows that by saying this, he will feel remorse for breaking a promise to his wife whom he loves so much.

Are People Born Generally Good Essay

I believe all people are born generally good, but are corrupted by society later on in life. When we are born we have no idea of what our lives will become. As we grow, we encounter people that affect us in good and bad ways. We then have to take it upon ourselves to decide what is right and how we handle situations based on our previous experiences. Hence these experiences make our lives and tendencies good or bad. For example, many studies have found that those who grow up in a â€Å"broken home† or dysfunctional family are more likely to develop habits of lying, being irresponsible, and hyper-sensitive of peoples opinions about them. This is a direct effect of experiences they encountered growing up, whether it be trying to avoid harsh consequences by lying, trying to please someone who never shows support (causing hyper-sensitivity), or not having an influential adult who teaches them how to complete tasks properly (becoming irresponsible). I believe everyone I have come in contact with has been good in the end, meaning everyone has some sense of good deep inside of them. Whether that is apparent to the everyday person is decided by the unique path they’ve had through life. When thinking about the success or failures of our representative democracy, I think of it in two sections, a social issues section and a financial policy section. Socially, I believe our country is extremely successful in protecting our personal liberties and freedoms. The representatives we elect have always had split opinions on controversial issues like drug legalization, abortion, and gay marriage, but have always made sure to protect our rights to assemble, freedom of speech, and freedom of religion, to name a few. Our government has always sworn and made sure to do the right thing and keep our constitutional rights intact, for the well-being of our public. We are given the right to have opposing opinions, and most people respect the right for people to do so. This is because of the general good people are born with. In these personal liberty issues our government takes the morally good stance of upholding the Constitution, even if a verdict against it may personally benefit them more. Albeit there are always the few bad apples who make the exception. Financially is where the negativity of society begins to show in our government. We are bombarded with images of the rich, powerful and famous, and told that this is the â€Å"new American Dream†. This is what we work to attain in life, but it is almost impossible to reach. So, once the few who do make it to the top (including the representatives we elect to government) they will do what it takes to keep that power and money, because that is what makes them successful in societies eyes. This can include a lot of what you hear about in the news including adding â€Å"pork† to bills, working with lobbyists, and shady campaign funding to ensure re-election. Unfortunately, this has become normal in politics. All of this is powered by negative social ideals that we are surrounded by. Thus the generally good representative, who may have started out truly wanting to help his nation, becomes corrupt.

The Dangers Of Deer Overpopulation - 1668 Words

In the early twentieth century, hunter-funded state and federal conservation programs rescued deer, elk, bears, turkeys and more from disappearing. Hunting benefits the environment and the economy due to the risk of overpopulation of animals, the taxes on hunting license and hunting equipment, jobs, along with the crops planted by hunters feeds the animals. â€Å"In the early twentieth century, there were approximately 500,000 white-tailed deer inhabiting the United States.†(Swihart) â€Å"Since then, several studies have been conducted proving that there are problems with deer overpopulation. Research has displayed that there are three prominent units that the causes come from; human overpopulation, elimination of their natural predators , along with lack of hunting to control the population.†(Lane) Human overpopulation has affected the deer population due to the fact that as the human population has increased the need for homes, food and water supply, as well as othe r extra things such as malls, highways and much more. The need for those has resulted in humans cutting down trees and destroying the habitats of the deer which has lead to the population moving to other areas and causing disease because the population is to high none area. The eradication of their natural predators is the result of removing the deers natural predators; this would result in the deer overpopulating. The lack of hunting to control the population would lead to an increase in the population in urbanShow MoreRelatedSport Hunting Should Be Stricter Regulations1286 Words   |  6 Pageslack of needing to hunt animals for resources, sport hunting has emerged. This is the recreational act of killing animals to use as trophies. The problem with sport hunting is that it is an unnecessary and unreasonable activity that presents several dangers. In order to understand why, one must examine the effects it has on animals, humans, and the ecosystem. It is clear that sport hunting should have stricter regulations. One reason why sport hunting should have stricter regulations is because itRead MoreWildlife Management: Why People Hunt? Essay1092 Words   |  5 Pagesand wildlife healthy. Overpopulation of wildlife would cause food to be scarce and land to be destroyed. If it was not for hunting, land would be destroyed and the wildlife would be struggling to survive. 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According to the EIS a population of 15 to 20 individuals is optimal to protect herd health and allow regeneration of the vegetation. The EISRead MoreEssay on Effects of Population Growth on Environment2386 Words   |  10 Pagesthe sentence or the reader can become confused.] is the population of the earth. The human population has been increasing at an accelerated rate in the last century; unfortunately, not much has been done to slow down this process. Undoubtedly overpopulation is a global issue. It [It must refer to a specific word in the sentence or the reader can become confused.] is global because it pertains to all humanity affects the whole world, i.e. the environment. Almost all human activities affect negativelyRead MoreHunting Is An Unnecessary Form Of Cruelty2027 Words   |  9 Pagesdwindling down to the last couple thousand to having over millions. For example, in 1907 , only 41,000 elk remained in North America. Thanks to hunters, there are now over 1 million elk and counting. In 1900, there were less than 500,000 whitetail deer remaining. â€Å"Conservation programs have restored habitats and hunters have spent an abundance of money to get the whitetail population to over 32 million now. (25). Hunting organizations such as Pheasants Forever and Ducks Unlimited spend a great dealRead MoreHunting : The Truth About Hunting Essay1372 Words   |  6 Pagesthe island also known as â€Å"Cat Island† has an overpopulation of cats. They were originally brought to the island to kill mice, and I’m sure they don’t have a mice problem any more(Cats Have Taken Over). This island is a perfect example of how animals can overpopulate without a natural predator. The Natural order and balance of populations is crucial to the survival of each species. Most animals are kept in a balance due to predators. For example: if deer populations were on the rise, mountain lionsRead MoreHunting Essay3907 Words   |  16 Pagesunretrieved every year.(11)  A British study of deer hunting found that 11 percent of deer whod been killed by hunters died only after being shot two or more times and that some wounded deer suffered for more than 15 minutes before dying.(12)  A member of the Maine Bowhunters Alliance estimates that 50 percent of animals who are shot with crossbows are wounded but not killed.(13)  A study of 80 radio-collared white-tailed deer found that of the 22 deer who had been shot with traditional archery equipment