Wednesday, October 30, 2019
Is nothing private Case Study Example | Topics and Well Written Essays - 750 words
Is nothing private - Case Study Example Monique Masters that her quest is honorable aimed at offering more good than bad. The main ethical issue in the case is primarily the privacy and confidentiality of all persons who holds driverââ¬â¢s license. The case is characterized by a number of relevant details. To start with, FatAwayââ¬â¢s president, Monique Masters presents her need to advertise for a newly developed product line. The products to be advertised are deemed safe, reliable and effective. The advertising undertakings are referred to an advertising agency that is supposed to gather specific and relevant information for the advertisement, design the advertisement and further market the entire campaign. The information required is available, but not specifically gathered for advertisement and marketing purposes. Another relevant detail that pertains to this case is the procedure to use in getting the required information. The advert needs to identify the ten fattest people in each state. This information is dependent on getting access to all persons who hold driving licenses. Once this is done, their height and weight is to be matched and the grossly fat persons identified for the advertisement pursuit. The identified persons will be asked to consent to the move, with those who get into a weight loss program getting paid for every pound of weight lost. The other detail is that of getting access to the required information. The privacy and confidentiality of the information held by driversââ¬â¢ registries seems to be jeopardized. This is regard to the alternatives available in getting access to this information. Subscriptions are allowed and even in some cases secretaries of state provide this information at a cost. Business and professional conduct is therefore central to the dealings between Monique, the Advertising Agency and the Executive account Manager. The case details therefore revolve around the FatAway Inc., the advertising agency and its
Monday, October 28, 2019
How Our Culture Glorifies One Sex Over the Other in Dating Essay Example for Free
How Our Culture Glorifies One Sex Over the Other in Dating Essay In his musings A Note on Vulnerability and Responsibility, Hugo Schywyzer comments, Men, it seems, cant distinguish being wanted as a partner and being needed as a protector and provider. Women have always been held in high regard when it comes to dating. This is because women, through time, have always been viewed as weak and in need of protection. This view has carried over to our new era of woman empowerment and independence. These views have slowly changed over the decades though and beginning in the 1960s, women have slowly evolved into an equal partnership with men. These days, women and men earn their place in their relationships. The glorification is no longer automatic even while you are simply dating one another. Men have traditionally held the more responsible role of being mature and more understanding in a relationship. These days though, maturity and respect in a relationship are considered a two-way street where a dating couple would rather find a common middle ground rather than the man letting the woman have her way in the relationship. Although a womans decision is still glorified in terms in dating, women today tend to use their prerogative to find an outlet that they both will enjoy. It is no longer just a woman who must enjoy a date these days and the women prefer it that way. Although, the continually evolving area of dating has proven that women do not necessarily have to date. It is perfectly acceptable for women to opt for independence and remain single. Women no longer like being placed on a pedestal where men seemingly glorify them for the sake of their egos. Women no longer respond in a resigned manner to sexist treatment. Women will no longer accept that she is inferior and, judged to be mentally inferior to the male. Women feel respected these days when a man listens to what she has to say and considers her suggestions. Men seem to prefer a woman who shares her thoughts because the responsibility for dating enjoyment and relationship building no longer falls squarely on the mans shoulders. Consider my personal situation as an example. I work in the Armed Services and yet it does not affect my relationship with men. Instead of being threatened by my position, which used to be solely a mans job, most men who know me admire me for my courage and sense of duty and responsibility. These are traits that I carry over into my personal relationships that produces a smooth flowing and open line of communication and understanding with my partner. Since we both have input into how to improve our relationship, we have built a strong bond that cannot be questioned and need not be doubted. We are equals and partners in everything we do. These days, a man is no longer relegated to the protector and provider role. This evens out the responsibility in a relationship and allows the woman to ask her man to treat her as an equal while still being vulnerable and in need of protection. It can be said that men now treat women as their equal in every way even with the limitations set in place not by man, but by Mother Nature herself. Our culture no longer dictates that we glorify one sex over the other when it comes to dating. A woman no longer needs to pretend to be vulnerable and like a porcelain doll just to make the man feel strong. Men now get their glorification by living up to their commitments and vows in a relationship. Glorification of one sex over the other is no longer the norm. The bible lectures women to be submissive to their husband, that has not been the case for decades now. These days, women have the right to say no if she feels a situation is not right for her. Men can no longer assume for example, that when he says he is moving to another state, his girlfriend or wife will automatically go with him. Women these days have more things to consider like their jobs, family, friends unlike before when she was simply a stay at home person who was expected to do a mans bidding. M These days, a womans opinion is recognized as needed and therefore must be considered. Dating these days are based on totally new sets of rules based on woman empowerment and independence. Certain sports like soccer, golf, tennis, and basketball now have equivalent female leagues. While activities such as rock climbing, handy work around the house, and car repairs, which used to be the sole realm of men have seen a fair share of women accomplishing the same tasks without the hindrances one may have ordinarily expected. Responsibility of making a relationship, or even just a simple date, work is now a shared task that no longer glorifies or spotlights one sex over the other. This I further reinforced by the mass media of today with shows such as Sex at the City, Friends, Greys Anatomy, and Alias. All the women on these shows equal their male counterparts in every way. The barriers of social enjoyment have been torn down by these shows and empowered women to become an active participant in choosing their life mate. These shows encourage woman to take the initiative for dating or any other companionship activity provided that she is comfortable doing so. It is okay for a woman to be aggressive to a certain degree. A woman asking a man out on a date is no longer frowned upon since men can sometimes be just as shy as the woman when asking for a date. It is okay for a woman to change her own flat tire. It is no longer an issue if a woman has more intellectual know how than men. Women like these gain the respect of the significant other who glorify the woman who earned the right to be treated equally and not because tradition and society has dictated it to be that way. Society now dictates the women prove themselves if they want to be respected. Women have proven it many times over. Women are now leading and formidable figures in the fields that were exclusively for men in the past such as politics (Hillary Clinton senator), and business (Oprah Winfrey Mass Media). Outline of How Our Culture Glorifies One Sex over the Other in Dating Lead-in There is a belief that our culture glorifies one sex over the other when it comes to dating. Thesis These days our culture no longer glorifies one sex over the other in dating because all responsibilities and tasks are now a shared effort on the part of the man and woman. Conclusion: Be it a male or female, the dating couple want to earn the respect of their partner and earn the respect and glorification that is accorded to them as a productive significant other in the dating relationship. Works Cited: Hugo Schwyzer. November 03, 2005 A Note On Vulnerability and Responsibility. Retrieved January 4, 2007 from http://hugoboy. typepad. com/hugo_schwyzer/2005/11/on_a_more_serio. html
Saturday, October 26, 2019
Utopia :: essays research papers
As its title hints, the essay which follows is not the history but biographical of an idea. The idea for the book called Utopia. Like all ideas for books it was born and had its whole life span in the mind of an author. Like all such ideas it ceased to be when the printed book Utopia became a black-on-white reality. Although there is no accurate record of its birth date, it seems to have been born in the mind of Sir Thomas More. As the writer I shall have to take into account the environment in which our subject passed its life and that environment was the mind of Sir Thomas More. To establish the lineaments of the idea for Utopia we shall perforce, for lack of better sources of information, rely on the book called Utopia We ourselves shall have to look very closely to separate the thinkers thought from the literary tricks of the trade. More's intentions in Utopia, must remain mysterious. A little more difficult to accept is the general implication of the review that the mysteriousness of the author's intent in Utopia is somehow a point in his favor, that the obscurity of his meaning enhances the merit of his work. The one point of unanimous agreement about Utopia is it is a work of social comment. Since Utopia is a work of many ideas, it is impossible of course to expand the book unless one has some notion of the hierarchy of conception in it. A caretul reading of Utopia does seem to me to reveal clearly the hierarchy of it author's ideas at the time he composed the book. Although the interpretation of Utopia which follows has no pretension to substantial novelty, but rather disavows it, my approach to the problem may seem singular and eccentric. The account of such an analysis will necessarily be a little dull, so I shall have to request the forbearance of the reader without being able to promise for his patie nce any large reward in the shape of a brand new insight. The inconsistency between the prospectus in the curious paragraph and the subject matter that follows in the printed version of Utopia becomes intelligible if we make a few assumptions about the development of the books composition. The conclusion various scholars have come to about More's attitude toward the institution of property coincides to a remarkable degree with their own pre-dilection on that point, or with their notion of what More should have thought.
Thursday, October 24, 2019
Appeal statement
I am writing to appeal my academic dismissal from XXXXX State University. I was not surprised, but very upset to receive a letter earlier this week informing me of my dismissal. I would like to urge you to accept my appeal to Reversal for Dismissal Action. I admit, I had a very difficult time past two semesters, and my grades suffered as a result. I don't mean to make excuses for my poor academic performance, but I would like to explain the circumstances.I knew that registering for 10 credit hours in the spring would require a lot of my effort, but I needed to earn the hours so that I was on track to graduate on time. I thought I could handle the work load, and I still think I could have, except that my family circumstances were ruining and as I was far from home and could not concentrate on my course work. While there was financial problems which were pressurized on me to graduate soon.With all these Problems I was made to do part time in order to meet my expenses and fell ill frequ ently which lead to irregularity of attending classes Needless to say, the hours I used to spent n part time work cut into my study time. Even when I was at school, I was very distracted with the home situation and was unable to focus on my schoolwork. I understand now that I should have communicated with my professors (instead of avoiding them), or even taken a leave of absence. I thought I could handle all of these burdens, and I tried my best, but I was wrong.I love XXXXX State University, and it would mean so much to me to graduate with a degree from this school, which would make me the first person in my family to complete a college degree. If I am reversed for Dismissal Action, I will focus much better on my schoolwork, take few credit hours, As financially things are getting better at my home I need not do any part time and manage my time more wisely by concentrating only on course work, plan a schedule of meeting my advisor and professors frequently, will retake the courses in which I scored low grades again, and get better grades.Fortunately, I came for a visit to my home town and I am feeling much better as things are getting better at my home and feeling relieved from my depressions. Also, I will meet my advisor as soon as I reach Kent, and I will follow her advice and will communicate better with my professors from now on. Please understand that my low GPA that led to my dismissal does not indicate that I am a bad student. Really, I'm a good student who had one very, very bad year. I hope you will give me a second chance. Thank you for considering this appeal. Sincerely,
Wednesday, October 23, 2019
The Amazing Story of How Ratan Tata Built an Empire
He's packing his bags ââ¬â again. December 2012, when he turns 75, is the third scheduled retirement for Ratan Tata. The Tata Group has been at this inflection point twice earlier, and stepped back both times. In 2002, when Tata was to retire at 65, the Tata Sons board promptly redesignated him non-executive chairman, which meant he could continue for another five years. Three years later, the board upped the retirement age of non-executive directors to 75. The message is clear: Ratan Tata is indispensable. And it's not just the board that feels that way. There were loud cries of support from shareholders at the Tata Steel AGM in August, held soon after the announcement that Tata Sons had created a panel to find Tata's successor. ââ¬Å"We can't lose our ratan (jewel),â⬠said one shareholder, while others asked him to stay on as chairman emeritus. Whether or not he acknowledges it openly, Tata must be feeling vindicated by this public recognition of his worth. When he took over as Tata Group chairman on March 25, 1991, critics were loud and unrestrained in their disapproval and scepticism. Ratan Tata was considered to have gained his position purely on the strength of his surname; he was incompetent, raged opponents both within and outside Bombay House, and he didn't possess an iota of the charisma of his uncle and predecessor, JRD Tata. Nearly 20 years later, Ratan Tata has achieved almost everything on his 1991 agenda. At Rs 3. 46 lakh crore (Rs 3. 46 trillion), Tata Group revenue is 40 times the 1991 level, while net profit has gone up four times.
Tuesday, October 22, 2019
E-Commerce â⬠Will and CO. The WritePass Journal
E-Commerce ââ¬â Will and CO. Introduction E-Commerce ââ¬â Will and CO. ). This meant that Salesforce did not have to be installed on Will Co computers, which in turn meant noproblems withà compatibility (for example there was no need to install on PCs or laptops). Additionally, Salesforce proved to be inexpensive to start using, compared to some other brands of customer relationship software.à With Salesforce, the upfront cost is quite small, although over the long term monthly payments mean the overall cost is likely to be considerably higher than other solutions.à Being able to spread the cost was initially advantageous to Will Co, but may be less so in the longer term.à à Further, the system was efficient and user-friendly. The reports produced during the trial were quite comprehensive.à The system also allows users to communicate with each other. Security is also relatively high. Salesforce reports are quick and detailed. Additionally, the program automatically saves reports which havenââ¬â¢t been manually saved. The platform is also strong on integrating contacts. Another advantage is that the programme is very easy to use, with a dashboard that allows users to view historical data. As this feature is new, not all organizations use it, and early adopters might achieve competitive advantage, as it allows users to view a summary of previous and current processes without the need for extensive searching. Salesforce is also compatible with mobile devices, which is useful for Will Co, as their staff are encouraged to use mobile phones and other portable devices like tablets to work away from the office. That Salesforce utilizes mobile technology is also reassuring, as Will Co are firmly committed to marketing using social media (particularly those accessed by mobile phones).à It has been estimated that the majority of consumers tend to utilize mobile devices in order to access the Internet (New Media Trends, 2012). It has been further estimated that an average consumer has at least two devices; which is set to increase up to four devices per person in the nearest future (New Media Trends, 2012).à It will be important to develop a robust ethics surrounding marketing practices which break new ground in terms of new media, however. There are some disadvantages with Salesforce which were revealed in the trial. One concerns with Salesforce was that there was only one password, which raises questions of security, as there is only one password to hack. A possible solution management might investigate is liasing with Salesforce to see if they can provide a more secure system. A similar issue can be raised about the visibility of private data. Currently private data can be seen by other users. Again, management might raise this with Salesforce and see if higher levels of privacy can be written into the software. à Another concern relates to software compatibility.à For the trial, only Microsoft Outlook was utilized, no testing has been made on other e-mail domains. A further flaw is that Salesforce is operated only over the internet. Without Internet connection it does not function. This is the nature of cloud computing. (Jamsa, 2012). This might lead to problems in cases where the organization loses connectivity to the internet, although it might further be argued that this possibility becomes less likely over time as systems become more robust. Lessons Learnt The exercise revealed that while the mechanics of developing an online business are straightforward, it is also time-consuming and requires a lot of dedication. It was clear that taking advantage of one of the numerous customer relationship software platforms and/or web-hosting domains (Phan, 2003) makes the process easier. However, the exercise has also shown that it is very important to be very clear before developmentregarding the purpose and concept of the business. In otherwords, a comprehensive business plan is necessary.à This will involve researching the market in order to identify the major trends and possible changes on the market (Phan, 2003). There is also a need for an overarching vision for the longer term future, to aid in the achievement of organizational objectives (Filion, 1991). In terms of the actual platform, the project showed that it is important to have a user-friendly platform. Considering the fact that the majority of users may not be technically expert,à any platform needs to be simple and straightforward to use (Srinivasan and Anderson, 2002).à à Issues raised about security and privacy of the data made it clear that ethical considerations have to be considered. If information about consumers is managed online, not only do people have to be informed that data is held about them, but also steps should be taken to ensure the data is kept securely (Dataà Protection Act 1998) Parasuraman and Zeithaml, (2005) suggest a framework to evaluatethe quality of online services, particularly the efficiency of the website. Their model suggests that there are certain gaps in expectations based on the evaluation of online services. There are several main variables which are utilized in order to measure the quality of online services, namely efficiency (how quickly and easily the website can be accessed), fulfillment (whether what is promised is delivered), system availability (the technical specifications of the system), privacy (confidentiality of data), responsiveness (the way in which problems are handled and enquiries responded to), compensation (whether recompense is made for problems and contact (how easy it is to get information about who to contact). The experiences during this exercise highlight the importance of such aà framework in order to quantify , monitor and control all the activities on the website. It was easy, though time consuming, to set up an online presence for Will Co, but this framework allowed participants to evaluate the websiteââ¬â¢s performance in terms of aspects important to users. Additionally, it was revealed that it will be necessary to update the website constantly in relation to customer requests and expectations. Amazon.com offers a workable example of good practice, its CEO was focused on the delivery of a best service quality possible through these means (Markey and Hopton, 2002). One of the most important lessons learnt during this process was that thebusiness should be ethical and sustainable. For Will Co, ethics therefore should determine the whole organizational culture. In addition to the concerns of the directors that business be conducted ethically, it has been suggested that consumers tend to demand ethical services (Kracher and Corritore, 2009), going alongside an increasing trend for environmental concern among consumers. This concern with ethicsà should be reflected not only in terms of relationships with consumers but also in the organizational culture itself and in the relationships with the suppliers (Kracher and Corritore, 2009). Marketing and Sales In order for any online business to be successful, it is important to consider marketing and promotional techniques. Will and Coââ¬â¢s business model is based on the integration of a Web Catalogue Revenue Model. This model is a traditional model, but one which is often utilized for marketing online retailing websites (Rappa, 2004). Under this model,à orders are made via the website and then shipped to the consumer. Revenue is generated from orders made through the website. This is the most suitable revenue model for marketing the bath and body care products (Rappa, 2004), as it is simple to integrate and does not require a high level of technical knowledge.à Alternative online revenue models include digital content revenue models, fee-for-transaction revenue models, and fee-for-service revenue models (Schneider 2011).à Other models are unsuitable, as they are designed for different types of product, for example digital products or services, not physical goods. It is important for a manager to integrate promotional targeting and segmentation techniques in order to categorize the consumers. In terms of online business, Schneider identifies three catagories, namely browsers, buyers and shoppers (Schneider, 2009). The aim is to convert the browsers into the shoppers.. For this purpose it is important to develop a marketing plan, which is based on the marketing mix (Kotler and Armstrong, 2009). The marketing mix includes the development of strategies related to pricing, product, distribution and promotion. In terms of Will Co, although the overall aim is to offer the consumer high-quality product at an affordable price, there is a need to further differentiate the offer from those ofà other products in the sector. To address this the brand will focus on communicating messages of physical refreshment and unusual ingredients in their bath and body care products. à à The website will give consumers a wealth of detail of the provenance of i ngredients, describing the people who make the products and the farmers who grow the raw ingredients. The main distribution channel is the Internet, namely the official Will and Co website. Here it is important to deliver coherency between the brand image and the website design (Kotler and Armstrong, 2009). Therefore Will Coââ¬â¢s website design should reflect a sense ofrefreshment with clean lines, but also reflect concern and care for the people who make the products or grow their ingredients. This will help the company position the brand in the market. In addition to this, attention should be drawn to the reasonable prices of the products.à The manager needs also to ensure that the writers of the website content highlight the fair business practices Will Co subscribe to. A currently popular promotional techniques is the use of social media.à It is important for Will and Co to subscribe to Twitter and Facebook in order to start promotion of the products. The company can use these media as a way of building a relationship with customers.à It is increasingly important for customers to feel that they have a personal relationship with a brand.à This is especially significant at the start-up level of an online business. By using Twitter and Facebook, the organisation positions itself as a personality with whom customers can interact (Kaplan and Haenlein, 2010). Consumers can also leave reviews. Social media also serves as a platform for spreading word of new organizations, which is beneficial for Will and Co. It is also important to ensure that banner ads are integrated well with the site, promoting only organizations similar to Will and Co in product offering (Schneider, 2009). With regards to search engine promotion, it is recommended that Will Co integrate paid search engine inclusion and placement, seeking placement on the first page of google for the main relevant searches. For example, whenà consumers look for bath and body care products through a search engine, Will Co should be near the top of the list (Schneider, 2009). One of the major concerns is the cost of ensuring high rankings. Finally, the company should focus on the customer, and their ability to deliver the best service quality possible. By delivering as high a quality service as possible (fast delivery of products, quick responses to queries) higher customer satisfaction is likely to result, and consequently also a higher customer retention rate. Customer relationship management has become important over the recent decade, and with it the need to develop stronger relationships with consumers through delivering on promised service quality (Gronroos, 1993). Additionally, Technique such as Clickstream might be useful in the beginning to monitor and control the level of clicks and visits to the website. This will allow the evaluation of website activity to show which promotional strategies are the most beneficial in terms of sales and increase in visits Online Strategies Will Co can utilize a number of online strategies to help them become successful.à As mentioned above, social media should be a key advertising medium. This advertising method is inexpensive and at the same time effective in developing of conversations around the brands. For this purpose, it is recommended that Will Co subscribe to Twitter and Facebook. These are the two of the leading social networking websites with the highest number of subscribers. Twitter has recently surpassed 500 million subscribers whereas Facebook has reached 1 billion subscribers (Telegraph, 2012). In order to start advertising through these mediums it is recommended that Will Co gain followers through using special automated systems. These are targeting systems developed to promote products to customers who are particularly interested. It is also recommended that Will Co develop conversations around their brand in order to increase its brand exposure. This should be supported by e-mail marketing, wit h regular newsletters and reminders about the availability of products and promotions in the company. This will be maintained on the regular basis in order to sustain the customer interest.à However, in all these online activities Will Co must bear in mind the need to proceed ethically. Their strategies should not be underhand or deceptive. Particular care needs to be taken when users of social networking sites are under the age of 18, as young people are considered particularly vulnerable to the impact of advertising and should be protected. Conclusion This paper has discussed the lessons learnt by taking part in anà e-commerce exercise. It has identified key issues, which may affect the development of a new business. It has been shown that it is important to deliver high quality through the online business, as well as ensuring the ethical management of online business processes. This aids in the development of stranger relationships with the customers. With regard to marketing and promotion, it has been estimated that it is important to maintain a close match between the brand image, positioning and website design, particularly as the website is the main distribution channel. Finally, it is important to integrate social media techniques and strategies, since these are growing in popularity and likely to become more popular in the future. References: Chatzidakis, A and Mitussis, D (2002) ââ¬ËComputer ethics and consumer ethics: the impact of the internet on consumers ethical decision-making processââ¬â¢,à Journal of Consumer Behaviour: 6:5, 305-320 Data Protection Act 1998 (1998) HMSO, London Fillion L. (1991). Vision and Relations: Elements for an Entrepreneurial Metamodel. International Small Business Journal. 9 (2): 26-40 Grà ¶nroos, C. (1993b). From Marketing Mix to Relationship Marketing: Toward a Paradigm Shift in Marketing. à Working Paper, No. 263. Swedish School of Economics and Business Administration, Helsingfors, Finland. Jamsa K. (2012). Cloud Computing. Jones and Bartlett: USA IPSOS MediaCt(2013) ââ¬ËSocial Grade: A Classification Toolââ¬â¢, [online] (cited 17th March 2013) available from ipsosmori.com/DownloadPublication/1285_MediaCT_thoughtpiece_Social_Grade_July09_V3_WEB.pdf Kaplan A., Haenlein M. (2010). Users of the world, unite! The challenges and opportunities of Social Media. Business Horizons. 53 (1): 59-68 Kim S.S., Malhotra K.N., Agarwal J., (2004), ââ¬Å"Internet Usersââ¬â¢ Information Privacy Concerns (IUIPC): The Construct, the Scale, and a Causal Modelâ⬠, Information Systems Research, Vol.15, Iss. 4, pp. 336 -355 Kracher, B., and Corritore, C.L. (2004). Is There a Special E-commerce Ethics? Business Ethics Quarterly, (14:1), 71-94. Markey M., Hopton C. (2000). E-customer loyalty- applying the traditional rules of business for online success. European Business Journal. Available: bus.iastate.edu/kpalan/mkt504/reichheldetalwinter.pdf (Accessed on 14/3/2013) Parasuraman A., Zeithaml V. Malhotra A. (2005). E-S-QUAL A Multiple-Item Scale for Assessing Electronic Service Quality. Journal of Service Research 7 (10): 1-21 Phan D. (2003). E-business development for competitive advantages: a case study. Information and Management. 40 (6): 581-590 Rappa M. (2000). Business Models on the Web. Available: http://digitalenterprise.org/ (Accessed on 16/3/2013) Schneider G. (2009). E-Business. 8th Edition. Cengage Learning: USA Schneider G. (2011). Electronic Commerce. 9th Edition. Cengage Learning: USA Srinivasan S. Anderson R., Ponnavolu K. (2002). Customer loyalty in e-commerce: an exploration of its antecedents and consequences. Journal of Retailing. 78 (1): 41-50 Weltevreden, J WJ and Atzema, O A L C (2007) ââ¬ËCyberspace Meets High Street: Adoption of Click-and-Mortar Strategies by Retail Outlets in City Centersà ââ¬Ë, Journal of Urban Geography, 27:7, 628-650
Monday, October 21, 2019
Example of ANOVA Calculation
Example of ANOVA Calculation One factor analysis of variance, also known as ANOVA, gives us a way to make multiple comparisons of several population means. Rather than doing this in a pairwise manner, we can look simultaneously at all of the means under consideration. To perform an ANOVA test, we need to compare two kinds of variation, the variation between the sample means, as well as the variation within each of our samples. We combine all of this variation into a single statistic, called the ââ¬â¹F statistic because it uses the F-distribution. We do this by dividing the variation between samples by the variation within each sample. The way to do this is typically handled by software, however, there is some value in seeing one such calculation worked out. It will be easy to get lost in what follows. Here is the list of steps that we will follow in the example below: Calculate the sample means for each of our samples as well as the mean for all of the sample data.Calculate the sum of squares of error. Here within each sample, we square the deviation of each data value from the sample mean. The sum of all of the squared deviations is the sum of squares of error, abbreviated SSE.Calculate the sum of squares of treatment. We square the deviation of each sample mean from the overall mean. The sum of all of these squared deviations is multiplied by one less than the number of samples we have. This number is the sum of squares of treatment, abbreviated SST.Calculate the degrees of freedom. The overall number of degrees of freedom is one less than the total number of data points in our sample, or n - 1. The number of degrees of freedom of treatment is one less than the number of samples used, or m - 1. The number of degrees of freedom of error is the total number of data points, minus the number of samples, or n - m.Calculate the mean square of error. T his is denoted MSE SSE/(n - m). Calculate the mean square of treatment. This is denoted MST SST/m - 1.Calculate the F statistic. This is the ratio of the two mean squares that we calculated. So F MST/MSE. Software does all of this quite easily, but it is good to know what is happening behind the scenes. In what follows we work out an example of ANOVA following the steps as listed above. Data and Sample Means Suppose we have four independent populations that satisfy the conditions for single factor ANOVA. We wish to test the null hypothesis H0: à ¼1 à ¼2 à ¼3 à ¼4. For purposes of this example, we will use a sample of size three from each of the populations being studied. The data from our samples is: Sample from population #1: 12, 9, 12. This has a sample mean of 11.Sample from population #2: 7, 10, 13. This has a sample mean of 10.Sample from population #3: 5, 8, 11. This has a sample mean of 8.Sample from population #4: 5, 8, 8. This has a sample mean of 7. The mean of all of the data is 9. Sum of Squares of Error We now calculate the sum of the squared deviations from each sample mean. This is called the sum of squares of error. For the sample from population #1: (12 ââ¬â 11)2 (9ââ¬â 11)2 (12 ââ¬â 11)2 6For the sample from population #2: (7 ââ¬â 10)2 (10ââ¬â 10)2 (13 ââ¬â 10)2 18For the sample from population #3: (5 ââ¬â 8)2 (8 ââ¬â 8)2 (11 ââ¬â 8)2 18For the sample from population #4: (5 ââ¬â 7)2 (8 ââ¬â 7)2 (8 ââ¬â 7)2 6. We then add all of these sum of squared deviations and obtain 6 18 18 6 48. Sum of Squares of Treatment Now we calculate the sum of squares of treatment. Here we look at the squared deviations of each sample mean from the overall mean, and multiply this number by one less than the number of populations: 3[(11 ââ¬â 9)2 (10 ââ¬â 9)2 (8 ââ¬â 9)2 (7 ââ¬â 9)2] 3[4 1 1 4] 30. Degrees of Freedom Before proceeding to the next step, we need the degrees of freedom. There are 12 data values and four samples. Thus the number of degrees of freedom of treatment is 4 ââ¬â 1 3. The number of degrees of freedom of error is 12 ââ¬â 4 8. Mean Squares We now divide our sum of squares by the appropriate number of degrees of freedom in order to obtain the mean squares. The mean square for treatment is 30 / 3 10.The mean square for error is 48 / 8 6. The F-statistic The final step of this is to divide the mean square for treatment by the mean square for error. This is the F-statistic from the data. Thus for our example F 10/6 5/3 1.667. Tables of values or software can be used to determine how likely it is to obtain a value of the F-statistic as extreme as this value by chance alone.
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