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MessagePosté le: Jeu 26/04/18 04:05    Sujet du message: rob-kelley Répondre en citant

The signed rank test can be used to make inferences about the median of an unknown distribution function F(x) under the assumption that the probability density (mass) function is symmetric. If the distribution is symmetric http://www.cheapnfljerseysredskin.com/dustin-hopkins/ , then the median of the distribution is equal to the mean of the distribution, and they can both be denoted by μ = F −1 (0.5). The sign test can also be used to provide inferences about the median without the necessity of making any assumptions about the distribution function F(x). However, the motivation behind the use of the signed rank test is that it provides a more precise analysis in situations where the distribution function can reasonably be taken to be symmetric.

The assumption of symmetry may be justified by an experimenter through observation or through an understanding of the nature of the data. For example, a simple histogram of the data may be sufficient to indicate that the assumption of symmetry is not inappropriate. In other cases, the experimenter may expect that the randomness in the data is composed primarily of a measurement error that can reasonably be expected to be distributed symmetrically. The additional precision of the signed rank test over the sign test is achieved through the consideration of the magnitudes of the deviations of the observed data values xi from the hypothesized median valueμ0. The sign test is performed by looking at whether an observation xi is less than μ0 or is greater than μ0. The signed rank test not only takes into account this information but also considers

|xi − μ0|

Where, the magnitude of the distance is between xi and μ0. The magnitudes provide additional information about the location of the median when the distribution is assumed to be symmetric. The signed rank test provides a useful middle ground between the sign test and a fully parametric test such as the t-test under a normal distributional assumption. The sign test is a very general procedure that requires no distributional assumptions. The signed rank test utilizes the additional information provided by an assumption that the distribution is symmetric and allows more precise inferences to be made about the mean of the distribution in this case. This assumption of symmetry can often be justified by an experimenter and provides a middle ground that is less restrictive than the exact specification of a symmetric distribution such as the normal distribution.

The choice of which inference method to adopt should be made on the basis of which set of assumptions are reasonable, and histograms or other data plots may be useful to investigate the form of the distribution. The experimenter should make use of any reasonable assumptions http://www.cheapnfljerseysredskin.com/tress-way/ , so that for example, the signed rank test should be used in preference to the sign test when the assumption of symmetry can be justified. Remember that the central limit theorem implies that the t-test (or equivalently the z-test) can be used for large enough sample sizes regardless of the actual distribution of the data observations, although the sign test and the signed rank test in practice often provide as precise an inference as the t-test and may still be preferred.
TIANJIN, China, Oct. 14 (Xinhua) -- Following are the medalists at the sixth East Asian Games here on Monday:


Soccer


Men's


Gold: DPR Korea


Silver: South Korea


Bronze: Japan


Basketball


Men's


Gold: Chinese Taipei


Silver: China


Bronze: South Korea


Baseball


Gold: Japan


Silver: South Korea


Bronze: Chinese Taipei


Cycling


Women's track 500m time trial


Gold: Zhong Tianshi, China


Silver: Lee Wai Sze, Hong Kong http://www.cheapnfljerseysredskin.com/shawn-lauvao/ , China


Bronze: Kayono Maeda, Japan


Men's track 1km time trial


Gold: Yudai Nitta, Japan


Silver: Zhang Miao, China


Bronze: Hsiao Shihhsin, Chinese Taipei


Men's track individual pursuit


Gold: Kim Hongki, South Korea


Silver: Eiya Hashimoto, Japan


Bronze: Cheung King Lok http://www.cheapnfljerseysredskin.com/bashaud-breeland/ , Hong Kong, China


Women's track individual pursuit


Gold: Huang Dongyan, China


Silver: Jiang Fan, China


Bronze: Huang Tingying, Chinese Taipei


Judo


Women's 45-48kg


Gold: Kim Sol Mi, DPR Korea


Silver: Cho Ara, South Korea


Bronze: Yamazaki Tamami http://www.cheapnfljerseysredskin.com/spencer-long/ , Japan


Bronze: Qiu Xiangting, Chinese Taipei


Women's 48-52kg


Gold: Takumi Miyakawa, Japan


Silver: Cha Ok Song, DPR KoreaP Bronze: Jung Eunjung, South Korea


Bronze: Baldinnyam baterdene, Mongolia


Women's 52-57kg


Gold: Kim Jandi, South Korea


Silver: Liu Yang http://www.cheapnfljerseysredskin.com/morgan-moses/ , China


Bronze: Ri Un Ju, DPR Korea


Bronze: Hirai Nozomi, Japan


Men's 55-60kg


Gold: Kim Wonjin, South Korea


Silver: tang Xiaolong, China


Bronze: Ryo Kawabata, Japan


Bronze: Tsai Mingyen, Chinese Taipei


Men's 60-66kg


Gold: Morishita Jumpei http://www.cheapnfljerseysredskin.com/jamison-crowder/ , Japan


Silver: Hyon Song Chol, DPR Korea


Bronze: Hwang Bobae, South Korea


Bronze: Chien Chiahung, Chinese Taipei


Men's 66-73kg


Gold: Bang Guiman, South Korea


Silver: Takeshi Doi, Japan


Bronze: Hong Kuk Hyon, DPR Korea


Bronze: Khadbaatar Narankhuu http://www.cheapnfljerseysredskin.com/mason-foster/ , Mongolia


Swimming


Women's 50m freestyle


Gold: Tang Yi, China


Silver: Siobhan Bernadette Haughey, Hong Kong, China


Bronze: Lee Jaeyoung, South Korea


Men's 50m freestyle


Gold: Ning Zetao, China


Silver: Yuki Kawachi, Japan


Bronze: Geoffrey Robin Cheah http://www.cheapnfljerseysredskin.com/deshazor-everett/ , Hong Kong, China


Men's 100m butterfly


Gold: Kohei Kawamoto, Japan


Silver: Shi Feng, China


Bronze: Masayuki Umemoto, Japan


Women's 200m breaststroke


Gold: Mio Motegi, Japan


Silver: Shi Jinglin, China


Bronze: Runa Imai http://www.cheapnfljerseysredskin.com/rob-kelley/ , Japan


Women's 400m individual medley


Gold: Chen Xinyi, China


Silver: Sakiko Shimizu, Japan


Bronze: Kim Seoyeong, South Kore.
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