Statistics: nuisance - tool - necessity?

نویسنده

  • Jean-François Roulet
چکیده

Dear Readers and Authors, One of an editor's duties is to do the final proofreading of a manuscript. I have found that errors in the statistical evaluation of data are the most frequent reason for corrections at that stage. In this respect, one could say that statistics is a nuisance, for me at least. I also remember thinking statistical evaluation was a nuisance early in my scientific career, when I started conducting " research ". Back then I did not understand statistical methods and did everything the wrong way due to lack of training. Now the wiser, I understand how to apply statistics as a tool. As with any tool, knowledge of some basic principles is necessary to use it properly. For instance, if you have a data set you want to analyze statistically, you must ask yourself right at the outset: " Are the data inde-pendent? " This will strongly determine which test you can use or not (ANOVA requires independent data). The other fundamental question you must ask is: " Are the data normally distributed? " This will help you decide whether to use ANOVA (for data following a normal distribution) or non-parametric tests (for skewed distributions). Here you are dealing with two different worlds, one dealing with means and standard deviations (normally distributed) and the other reporting medians and percentiles (skewed distribution). Do not mix these worlds in your reporting! Looking at the results of your analysis using ANOVA, if you find significant interactions in a two-or three-way setup , you cannot talk about main effects anymore; instead, you must compare individual cells with each other. Your experimental design will have a profound influence on which test to choose. Within an ANOVA, for example , there are different post-hoc tests regarding whether your " n " was the same in all groups and whether you are interested in all possible comparisons or only a few. When it comes to reporting, I very often see that authors perform a two-way ANOVA, but report this as if it were a one-way ANOVA, which is not correct. In presenting results of two-way designs in a table, you must compare within rows and within columns separately. Finally, be careful when talking about significance! This is basically the level of error (eg, 5% or 1% or less) you are willing to accept. Therefore, everything that is worse than that is not statistically …

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

exactLoglinTest: A Program for Monte Carlo Conditional Analysis of Log-linear Models

Nuisance parameters are parameters that are not of direct interest to the inferential question in hand. In a frequentist or likelihood paradigm, a common tool for eliminating nuisance parameters is to condition on their sufficient statistics. The same technique is useful (though rarely used) in a Bayesian settings, as it eliminates the need to put priors on nuisance parameters. For log-linear m...

متن کامل

Estimating generalized semiparametric additive models using parameter cascading

Elimination of nuisance parameters is a central but difficult problem in statistical inference. We propose the parameter cascading method to estimate statistical models that involve nuisance parameters, structural parameters, and complexity parameters. The parameter cascading method has several unique aspects. First, we consider functional relationships between parameters, quantitatively descri...

متن کامل

TESTING STATISTICAL HYPOTHESES UNDER FUZZY DATA AND BASED ON A NEW SIGNED DISTANCE

This paper deals with the problem of testing statisticalhypotheses when the available data are fuzzy. In this approach, wefirst obtain a fuzzy test statistic based on fuzzy data, and then,based on a new signed distance between fuzzy numbers, we introducea new decision rule to accept/reject the hypothesis of interest.The proposed approach is investigated for two cases: the casewithout nuisance p...

متن کامل

Data-Driven Time-Frequency and Time-Scale Detectors

In many practical signal detection problems, the detectors have to designed from training data. Due to limited training data, which is usually the case, it is imperative to exploit some inherent signal structure for reliable detector design. The signals of interest in a variety of applications manifest such structure in the form of nuisance parameters. However, data-driven design of detectors b...

متن کامل

Data-driven signal detection and classification

In many practical detection and classi cation problems, the signals of interest exhibit some uncertain nuisance parameters, such as the unknown delay and Doppler in radar. For optimal performance, the form of such parameters must be known and exploited as is done in the generalized likelihood ratio test (GLRT). In practice, the statistics required for designing the GLRT processors are not avail...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • The journal of adhesive dentistry

دوره 15 3  شماره 

صفحات  -

تاریخ انتشار 2013