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The use of non-parametric methods may be necessary when data have a ranking but no clear numerical interpretation, such as when assessing preferences. In terms of levels of measurement, non-parametric methods result in "ordinal" data. As non-parametric methods make fewer assumptions, their applicability is much wider than the corresponding parametric methods.

In particular, they may be applied in situations where less is known about the application in question. Also, due to the reliance on fewer assumptions, non-parametric methods are more robust. Another justification for the use of non-parametric methods is simplicity. In certain cases, even when the use of parametric methods is justified, non-parametric methods may be easier to use.

Due both to this simplicity and to their greater robustness, non-parametric methods are seen by some statisticians as leaving less room for improper use and misunderstanding. Mathematical statistics has substantial overlap with the discipline of statistics. Statistical theorists study and improve statistical procedures with mathematics, and statistical research often raises mathematical questions. Statistical theory relies on probability and decision theory.

Mathematicians and statisticians like Gauss, Laplace, and C. New York: John Wiley and Sons. John Wiley and Sons, New York. Testing Statistical Hypotheses (2nd ed.

Theory of Point Estimation (2nd ed. Mathematical Statistics: Basic and Selected Topics. Asymptotic Methods in Statistical Decision Theory. Statistical Decision Theory: Estimation, Testing, and Selection. If you're seeing this message, it means we're having trouble loading external resources on our website.

To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Statistical pocketbook Journal "Voprosy Statistiki" Additional information THE GREAT PATRIOTIC WAR.

Anniversary statistical collection World Statistics Day 2015 BRICS Joint Statistical Publications Fundamental Principles of Official Statistics GLOSSARY 39, Miasnitskaya St. Anniversary statistical collection World Statistics Day 2015 BRICS Joint Statistical Publications 39, Miasnitskaya St. Statistics is a form of mathematical analysis that uses quantified models, representations and synopses for a given set of experimental data or real-life studies.

Statistics studies methodologies to gather, review, analyze and draw conclusions from data. Some statistical measures include mean, regression analysis, skewness, kurtosis, variance and analysis of variance. Statistics is a term used to summarize a process that an analyst uses to characterize a data set.If the Badgers beat Ohio State, they would be a lock for the College Football Playoff.

Ohio State comes into the game at 10-2. Freshman RB Jonathan Taylor is a Doak Walker Award finalist and a candidate to be invited to the Heisman ceremony. Taylor has 1,841 rushing yards and 13 touchdowns this season to lead the Badgers.

At quarterback, Alex Hornibrook is 156-for-244 passing for 2,157 yards, 21 touchdowns and 13 interceptions. Four receivers have at least 300 yards. TE Troy Fumagalli is the most trusted target with 38 catches, 471 yards and 4 touchdowns. On defense, Ryan Connelly leads the Badgers with 71 total tackles. He also has 10 tackles for loss and 3 sacks. Edwards has 67 total tackles, 11 tackles for loss and 2 sacks.

Ohio State is averaging 43. Barrett is 217-for-328 passing for 2,728 yards, 33 touchdowns and 7 interceptions. He is second on the team in rushing with 672 yards and 9 scores. Though Barrett injured his knee last Saturday, with coach Urban Meyer blaming it on a cameraman, Barrett is expected to play. On the ground, freshman J. Dobbins leads the way.

Dobbins has 1,190 rushing yards and 7 touchdowns. Mike Weber adds 602 rushing yards and a team-best 10 touchdowns. Through the air, K. Hill paces the team with 51 receptions, while Parris Campbell is No. As longtime Big Ten foes, Ohio State and Wisconsin have a long history.

The Buckeyes have dominated for much of the series history, going 58-18-5. Ohio State even won 21 games in a row from 1960 to 1980. Currently, Ohio State has beaten Wisconsin five consecutive times. Four of those victories have been close. The one exception was in 2014, when the Buckeyes crushed the Badgers 59-0 in the Big Ten title game and used that to earn a spot in the College Football Playoff.

Ohio State would go on to win the national championship, its first since 2002. What does it all mean. How much can you win. What needs to happen. The odds will determine how much you will win in return for the money you bet (stake). Odds are determined by the probability of a certain outcome arriving.

Coming into the game, the Sharks topped the regular season table and earned home ground advantage, so they were the favourites. Bookmakers thought they were the most likely team to win, with Western Province the outsiders and even bigger odds on the draw.He'll provide insights on the huge opportunity ahead he sees for his company.

In this fireside chat, Steve King, Publicis Media's CEO, will discuss his view on how the agency is achieving its mission. Steve King, CEO, Publicis Media Interviewed by: Brian Wieser, Sr. Brian Andersen, Partner, LUMATwo days focused on what to expect in the next 12 months in marketing technology.

Hear the leaders of the advertising and marketing technology ecosystem reveal new visions for 2018 and beyond. Get unparalleled insight into the latest ideas, trends and technologies that are shaping the marketing and advertising world. Must book by January 4, 2018. Entire tickets may be transferred prior to event start, but cannot be transferred after ticket-holder has checked into the event. With a decade on the buy side of acquisitions, Brian has extensive experience in setting strategy, executing acquisitions and successfully integrating acquired companies.

Before Interwoven, he was a member of the executive staff at Phoenix Technologies, where he was responsible for corporate development, government affairs and special projects for the CEO. Michael was most recently chief executive officer and president at Millennial Media (NYSE:MM), a leading independent mobile ad technology company. Previously he has served as president and founder of Ichabod Farm Ventures LLC, a private investment firm he established after working as executive vice president and chief revenue officer of Yahoo.

He earlier worked at Google, where he led integration efforts following the acquisition of Admeld Inc. He has also served as executive vice president and chief revenue officer at Fox Interactive Media, as executive vice president of sales and partnerships at AOL Media Networks and in senior sales positions at GeoCities and Disney Online.

He majored in economics at The College of the Holy Cross and serves on the boards of MediaMath, MightyTV and The College of the Holy Cross. Brad is responsible for global product management for the Google Display Network, DoubleClick Bid Manager, DoubleClick Campaign Manager, DoubleClick Audience Center, Gmail monetization, and other emerging display and video advertising businesses.

Brad is a frequent guest speaker at industry events and conferences around the world and has been cited in Ad Age, Business Week, and The Wall Street Journal, among many other publications. Prior to joining Google, Brad held multiple leadership positions at DoubleClick in both the US and Europe. Most recently, he was their Vice President of Product Management responsible for the optimization suite of products used by many leading publishers, agencies, and marketers worldwide.

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Brad is an inventor of several patents in the areas of data and privacy. He currently lives in Palo Alto with his wife, twin daughters, and their dog. Henry Blodget is cofounder, CEO, and editor-in-chief of Business Insider, one of the most-read business and tech news sites in the world.

Business Insider is majority owned by Axel Springer, the leading digital publisher in Europe. The site has 80-plus million visitors a month worldwide.Unfortunately, no one showed us the right way to bottom in our high school sexual education class. Use a water-based lubricant and start with the smallest plug. Insert just to the point of pressure. Hold it there for a few seconds, then try to engage the muscles.

Allow yourself to relax before removing the plug, then re-lubricate and re-insert to the point of pressure.

Repeat the process three to five times. The key is to remember there are three sets of muscles that need to relax for a successful entry. Think of it as a tunnel, and the entire tunnel needs to be a well-lubed cylinder. If you become stimulated during the process, go for it. Not only is it a pleasurable side effect to your dilation training, but you can start to channel your orgasm anally and begin to gain control over time. Once the engines have been started, the bottom needs to sit on the tip of the penis, allowing control of entry.

Use plenty of lubricant and remember the different sets of muscles that need to be released to allow access. Start off using the same technique of inserting until you feel pressure, hold it there, pull out, re-lubricate and repeat.

The three-to-five-time rule applies here as well. Being on top of the penis really allows for you to determine your level of comfort. If pain occurs, you can stop, call it a day, and try again another time. Graduating to new positions: Once you have fully received the penis, the last hurdle is to add new positions into the mix, like doggy-style.

Make sure you have mastered receiving to minimize any injury and maximize pleasure. Start with you receiving on top and gaining control of your muscles before moving around to new positons. Injury happens to the best of us: Proper techniques are obviously a must, but even brand-new cars can break down. The most common issues related to anal sex trauma are tears, also known as anal fissures.

Most anal fissures will heal themselves with proper care, but fissures that become chronic will require surgical intervention. Be honest with your body: Small, petite frames and pelvises just may not be able to accept those of the more well-endowed variety. Be realistic with your goals, and realize that you may need work up to this over several months. Use it or lose it: The key to continued ease of bottoming is to be consistent in using the above dilation methods, even throughout sexual dry spells.

Keep at it so the next experience is a pleasurable one. Engage a specialist: The process to becoming a pro at bottoming can be daunting, but it is totally achievable if you follow the above process. If all else fails, see a specialist in gay sexual health and wellness, who can provide both medical such as personalized dilation and Botox and surgical options (including anal restoration) to help improve results and assist in relaxation of the muscles.

Meet Our New Sexual Health ExpertDr.Through the status field in the evaluation you can determine when the evaluation has been fully processed.

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Once you delete an evaluation, it is permanently deleted. If you try to delete an evaluation a second time, or an evaluation that does not exist, you will receive a "404 not found" response. However, if you try to delete an evaluation that is being used at the moment, then BigML. To list all the evaluations, you can use the evaluation base URL. By default, only the 20 most recent evaluations will be returned.

You can get your list of evaluations directly in your browser using your own username and API key with the following links. You can also paginate, filter, and order your evaluations. It is intended as an import for executable scripts.

You can read the WhizzML Reference Manual for more information. You can also list all of your libraries. See WhizzML Reference Manual for more information. Once a library has been successfully created it will have the following properties. This is the date and time in which the library was updated with microsecond precision. Library Status Creating a library is a process that can take just a few seconds or a few minutes depending on the workload of BigML's systems.

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The library goes through a number of states until its fully completed. Through the status field in the library you can determine when the library has been fully processed and ready to be used. Once you delete a library, it is permanently deleted. If you try to delete a library a second time, or a library that does not exist, you will receive a "404 not found" response. However, if you try to delete a library that is being used at the moment, then BigML.

To list all the libraries, you can use the library base URL. By default, only the 20 most recent libraries will be returned. You can get your list of libraries directly in your browser using your own username and API key with the following links. A listing result includes all libraries in both production and development modes. It also includes read-only system library created by BigML. You can also list all of your scripts. To create a new script, you need to POST a string containing at least the source code to the script base URL.

All you need is a valid source code and your authentication variable set up as shown above. See the list of available input types.

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Example: "my new script" outputs optional Array A list of variables with their name, type, and optional description, defined in the source code of script, that will conform the outputs of execution.

See the list of available output types. Once a script has been successfully created it will have the following properties. Creating a script is a process that can take just a few seconds or a few minutes depending on the workload of BigML's systems. The script goes through a number of states until its fully completed. Through the status field in the script you can determine when the script has been fully processed and ready to be used.

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Once you delete a script, it is permanently deleted. If you try to delete a script a second time, or a script that does not exist, you will receive a "404 not found" response.

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However, if you try to delete a script that is being used at the moment, then BigML. To list all the scripts, you can use the script base URL.

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By default, only the 20 most recent scripts will be returned.For example, outliers could be indicative of the occurrence of a phenomenon that is qualitatively different than the typical pattern observed or expected in the sample, thus the relative frequency of outliers could provide evidence of a relative frequency of departure from the process or phenomenon that is typical for the majority of cases in a group.

Correlations in Non-homogeneous Groups. A lack of homogeneity in the sample from which a correlation was calculated can be another factor that biases the value of the correlation. Imagine a case where a correlation coefficient is calculated from data points which came from two different experimental groups but this fact is ignored when the correlation is calculated.

Let us assume that the experimental manipulation in one of the groups increased the values of both correlated variables and thus the data from each group form a distinctive "cloud" in the scatterplot (as shown in the graph below).

In such cases, a high correlation may result that is entirely due to the arrangement of the two groups, but which does not represent the "true" relation between the two variables, which may practically be equal to 0 (as could be seen if we looked at each group separately, see the following graph).

If you suspect the influence of such a phenomenon on your correlations and know how to identify such "subsets" of data, try to run the correlations separately in each subset of observations. If you do not know how to identify the hypothetical subsets, try to examine the data with some exploratory multivariate techniques (e. Nonlinear Relations between Variables. Another potential source of problems with the linear (Pearson r) correlation is the shape of the relation.

The possibility of such non-linear relationships is another reason why examining scatterplots is a necessary step in evaluating every correlation.

What do you do if a correlation is strong but clearly nonlinear (as concluded from examining scatterplots). Unfortunately, there is no simple answer to this question, because there is no easy-to-use equivalent of Pearson r that is capable of handling nonlinear relations. If the curve is monotonous (continuously decreasing or increasing) you could try to transform one or both of the variables to remove the curvilinearity and then recalculate the correlation. Another option available if the relation is monotonous is to try a nonparametric correlation (e.

However, nonparametric correlations are generally less sensitive and sometimes this method will not produce any gains. Unfortunately, the two most precise methods are not easy to use and require a good deal of "experimentation" with the data. Therefore you could:Exploratory Examination of Correlation Matrices.

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A common first step of many data analyses that involve more than a very few variables is to run a correlation matrix of all variables and then examine it for expected (and unexpected) significant relations. For example, by definition, a coefficient significant at the.The number of runners taking part in the rerun governs Place terms.

Walkovers and Void Horse RacesWalkovers and void races count as races but any horse so involved will be treated as a non-runner for settlement purposes. Normal place terms will apply for Each-way betting. In the event of a game being decided by a penalty shootout, then one goal will be added to the winning team's score and the game total for settlement purposes.

In 2-Way markets Push rules apply. Highest Scoring Period - If 2 or more periods have the same score, Tie will be settled as the winner. For settlement purposes the 51-60 minute duration will not include overtime if played. For settlement purposes the following website and box score details will be used to determine settlement times:Denmark www.

Settlement of match-up bets will be determined by positions in the Official Final Ranking at the conclusion of the specified Tournament. If teams are still ranked level, bets will be void. All-in, play or not. To Qualify From Group - Team to progress to Qualifying Round from Preliminary Round will be deemed winner. NHL To Win Conference - The team that progresses to the Stanley Cup Final will be deemed the winner. Series winner is team with highest combined score from both tests.

If both teams finish with a tied aggregate score then the current holders will be deemed the winner. Quarter with highest combined score of both teams will be deemed the winner.

If there is a tie for highest scoring quarter then bets are settled as a tie. The First quarter must be completed for bets to have action. If quarter ends in a tie then bets will be settled at the tie price if offered.

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All race bets are settled on the official classification from the Federation Internationale de l'Automobile (FIA), the sport's governing body, at the time of the podium presentation.

Each participant is priced to be the top driver over the Formula 1 season in accordance with Drivers Championship standings, and rules as specified by the FIA. Each participant is priced to be the top constructor over the Formula 1 season in accordance with Constructors Championship standings, and rules as specified by the FIA. Minimum 16 races must take place for bets to stand. All drivers who start the formation lap are deemed as runners. The podium positions will be used to determine 1st, 2nd and 3rd for betting purposes.

Official qualifying times as recorded by the FIA will be used for settlement. For Fastest Qualifier, times recorded in the third phase count. If for some reason the third phase does not take place we will settle on the official grid as formed by the FIA. However, qualifying time penalties (as specified by the FIA) will. Drivers must start the first phase of qualifying for bets to stand. For fastest in qualifying session 1 and 2, drivers must start the specified phase of qualifying for bets to stand.

The result for settlement is at the time of the podium presentation. If both drivers fail to complete the race then the driver completing the most laps will be deemed the winner. If both drivers retire on the same lap then bets will be settled on the official classification at the time of podium presentation.

All cars will be deemed as runners. A Safety Car Period is defined as the need for the Safety Car to run in front of the leading car during a specified race.


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