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Standard Error Of Log Transformed Data

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ListShanghai Arch Psychiatryv.26(2); 2014 AprPMC4120293 Shanghai Arch Psychiatry. 2014 Apr; how to calculate geometric standard deviation 26(2): 105–109. doi:  10.3969/j.issn.1002-0829.2014.02.009PMCID: PMC4120293Language: English | ChineseLog-transformation and its implications for data analysis数据分析中的对数转换和意义Changyong FENG,1,*,* Hongyue linear transformation standard deviation WANG,1 Naiji LU,1 Tian CHEN,1 Hua HE,1 Ying LU,2 and Xin M. TU11Department of Biostatistics and Computational Biology,University of Rochester, Rochester, NY, USA2Department of Health Research https://groups.google.com/d/topic/medstats/gmY78UHasAw and Policy, Stanford University School of Medicine, Stanford, CA, USA*correspondence: Email: ude.retsehcor.tsb@gnef The authors declare no conflict of interest.Author information ► Copyright and License information ►Copyright © 2014 by Shanghai Municipal Bureau of PublishingThis work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 Unported License. To view a copy of this license, https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4120293/ visit http://creativecommons.org/licenses/by-nc-sa/4.0/This article has been cited by other articles in PMC.SummaryThe log-transformation is widely used in biomedical and psychosocial research to deal with skewed data. This paper highlights serious problems in this classic approach for dealing with skewed data. Despite the common belief that the log transformation can decrease the variability of data and make data conform more closely to the normal distribution, this is usually not the case. Moreover, the results of standard statistical tests performed on log-transformed data are often not relevant for the original, non-transformed data.We demonstrate these problems by presenting examples that use simulated data. We conclude that if used at all, data transformations must be applied very cautiously. We recommend that in most circumstances researchers abandon these traditional methods of dealing with skewed data and, instead, use newer analytic methods that are not dependent on the distribution the data, such as generalized estimating equations (GEE).Keywords: hypothesis testing, outliners, lon-normal distribution, normal distr

log2 converted gene expression data? I ran an experiment with a ref gene (3 biological repeats x 3 technical repeats) and normalized gene expression of my target genes https://www.researchgate.net/post/How_do_I_calculate_standard_errors_for_normalized_log2_converted_gene_expression_data to the ref gene. I decided to present the data as log2 fold changes, which is, in my opinion, a better visualization of this kind of data (and of course, it helps with data normalization). Problem is, I can't find how to calculate the standard error of normalized, log transformed data anywhere. My solution was to calculate a 95% confidence interval and convert the range standard deviation to log2. My question is, is this solution sound, and is it acceptable to present data in this manner? and how can I calculate the SE of this sort of converted data. Thank you Topics Statistical Data Analysis × 680 Questions 886 Followers Follow Data Analysis × 1,444 Questions 9,680 Followers Follow Gene Expression × 1,725 Questions 25,298 Followers Follow Statistics × 2,293 Questions 91,385 standard deviation log Followers Follow Normalization × 446 Questions 41 Followers Follow Standard Error × 121 Questions 11 Followers Follow Jan 6, 2015 Share Facebook Twitter LinkedIn Google+ 0 / 0 All Answers (5) Ori Elad · University of Prince Edward Island The SE for the normalized data is itself normalized accordingly according to this pdf: http://www.pugetsound.edu/files/resources/qpcr-hand-calculations--relative-single-reference-.pdf I can not use the same manipulation for log SE, as the Relative quantity of the ref gene when log transformed is zero.  Jan 6, 2015 Jochen Wilhelm · Justus-Liebig-Universität Gießen average the ct's of the technical replicates calculate the dct's for each biol. replicate (I suggest to calculate dct=ct[ref]-ct[goi]) for these dct's calculate the average and the SE for each group calculate the (average) ddct as the difference of the average dct's (following my suggestion above it is calculated as ddct = dcttreat-dctctrl) the SE of the ddct is sqrt(SE²[dcttreat] + SE²[dctctrl]) the CI is calculated from this SE and the appropriate quantile of the t-distribution with ntreat+nctrl-2 degrees of freedom (n being the sample size) The ddct value is the log-ratio of the (normalized) expression. The base of the log is the amplification efficiency. The efficiency should act

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Standard Error Of Mean Graphpad p Graphpad com FAQs Find ANY word Find ALL words Find EXACT phrase The standard error of the difference between two means FAQ Last Modified -May- As part of the results of an unpaired convert standard error to standard deviation t test Prism reports the standard error and confidence interval for the standard error and standard deviation difference difference between two means The row labeled 'difference between means' shows just that The difference between the mean of p Standard Deviation Of The Mean Excel p group A and the mean of group B It also

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Standard Error Of A Ratio p Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of error ratio formula this site About Us Learn more about Stack Overflow the company Business Learn p Variance Of A Ratio p more about hiring developers or posting ads with us Cross Validated Questions Tags Users Badges Unanswered Ask Question standard deviation of a ratio of independent variables Cross Validated is a question and answer site for people interested in statistics machine learning data analysis data mining

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Standard Error Histogram p Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site p Standard Deviation Histogram Excel p About Us Learn more about Stack Overflow the company Business Learn more about hiring standard deviation from histogram data developers or posting ads with us Cross Validated Questions Tags Users Badges Unanswered Ask Question Cross Validated is a how to make a histogram with standard deviation question and answer site for people interested in statistics machine learning data analysis data mining

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Standard Error Mean Graphpad p OF p When To Use Standard Deviation Vs Standard Error p STATISTICS Standard Deviation and Standard Error of the Mean Dear GraphPad Standard Deviation and Standard standard deviation vs standard deviation of the mean Error of the Mean Rather than show raw data many scientists present results as mean plus or minus the standard deviation SD or standard error SEM This section helps you understand what these values mean URL of this page http www graphpad com support stat standard deviation and standar htm - GraphPad Software Inc All rights reserved p p Graphpad com

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Standard Error For Percent Change p Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss standard deviation of percentage change excel the workings and policies of this site About Us Learn more about standard deviation of percentages in excel Stack Overflow the company Business Learn more about hiring developers or posting ads with us Cross Validated Questions standard deviation of a ratio of independent variables Tags Users Badges Unanswered Ask Question Cross Validated is a question and answer site for people interested in statistics machine learning data

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Standard Error Command In Matlab p Search All Support Resources Support Documentation MathWorks Search MathWorks com MathWorks Documentation Support Documentation Toggle navigation Trial Software Product Updates Documentation Home MATLAB Examples matlab plot standard deviation Functions Release Notes PDF Documentation Data Import and Analysis Descriptive Statistics p Matlab Standard Deviation Of Matrix p MATLAB Functions std On this page Syntax Description Examples Standard Deviation of Matrix Columns Standard Deviation of -D p Variance In Matlab p Array Specify Standard Deviation Weights Standard Deviation Along Matrix Rows Standard Deviation Excluding NaN Input Arguments A w dim nanflag More About Standard Deviation Tall

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Standard Error Of Product p measurements on two variables are reproduced from a paper by H Ku Ku The p Standard Deviation Of Two Independent Variables p reported value Y is a function of averages of standard deviation of two variables in excel N measurements on two variables Function Y of bar X standard deviation two variables calculator bar Z bar X and bar Z are averages of N measurements CENTER B Standard deviation of Y s x standard p Standard Deviation Of Product Of Random Variables p deviation of X s z standard deviation of Z s xz covariance

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Standard Deviation Maximum Error p maximum error of the estimate is given by the formula for E shown The Z here is the z-score obtained from the normal table or the bottom of the t-table as explained in the introduction to estimation The z-score is p Standard Error Of The Mean p a factor of the level of confidence so you may get in the habit of writing standard error formula it next to the level of confidence Once you have computed E I suggest you save it to the memory on your calculator p Standard Deviation Of The Mean

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Standard Error Numbers Mac p Numbers for Mac Browse all functions by category Date Time Duration Engineering Financial Logical Information standard deviation symbol on mac Numeric Reference Statistical Text Trigonometric Date standard deviation numbers meaning Time DATE Combines separate values for year month and day and returns a date time value DATEIF Returns p How To Calculate Standard Error In Excel p the number of days months or years between two dates DATEVALUE Converts a date text string and returns a date time value This function is provided for compatibility with other p Standard Error Vs Standard Deviation p spreadsheet

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Standard Error Of The Mean Significant Figures p standard deviation in Section you know that your calculator actually doesn't give the answer for sigma as standard deviation significant figures sec but rather img There are significant digits in this sig figs for mean and standard deviation number Significant digits are the digits remaining after one ignores leading zeros If we kept all of them p Standard Deviation Percent Error p our final answer for the oscillation period would be img The above result implies that we measured T with a precision of better than a billionth of a second with

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Standard Error Of A Percentage Change p Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site About Us Learn more about standard deviation of percentage change excel Stack Overflow the company Business Learn more about hiring developers or posting ads with standard deviation of percentages in excel us Cross Validated Questions Tags Users Badges Unanswered Ask Question Cross Validated is a question and answer site for people interested p Standard Deviation Of A Ratio Of Independent Variables p in statistics

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Standard Error Outliers p outliers in the middle column as well as one outlier in the first column In statistics an outlier is an observation point that is distant from other observations An outlier may be due to variability in the measurement or it p Absolute Deviation Around The Median p may indicate experimental error the latter are sometimes excluded from the data set Outliers using standard deviation to find outliers in excel can occur by chance in any distribution but they often indicate either measurement error or that the population has a heavy-tailed distribution In p Standard Deviation Outlier

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Standard Error Sigma Hat p See also rule Cumulative probability of a normal distribution with expected value and standard deviation In statistics the standard deviation SD also represented by the Greek letter sigma or the Latin standard deviation symbol letter s is a measure that is used to quantify the amount of variation p Standard Error Formula p or dispersion of a set of data values A low standard deviation indicates that the data points tend to be close population standard deviation to the mean also called the expected value of the set while a high standard deviation indicates that

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Standard Error Graphpad p OF p When To Use Standard Deviation Vs Standard Error p STATISTICS Standard Deviation and Standard Error of the Mean Dear GraphPad Standard Deviation and Standard standard deviation vs standard deviation of the mean Error of the Mean Rather than show raw data many scientists present results as mean plus or minus the standard deviation SD or standard error SEM This section helps you understand what these values mean URL of this page http www graphpad com support stat standard deviation and standar htm - GraphPad Software Inc All rights reserved p p Graphpad com FAQs

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Standard Error Plus Minus Mean p a choice of exactly two possible values one of which is the negation of the other In experimental sciences the sign commonly indicates the confidence interval or error in a measurement often the standard deviation or standard p Mean Plus Or Minus Standard Deviation Excel p error The sign may also represent an inclusive range of values that a reading plus or minus standard deviation or standard error might have In engineering the sign indicates the tolerance which is the range of values that are considered to be acceptable p Mean Plus Minus Standard

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Standard Error Significant Digits p as or or This page will give you some guidance on how to report your experimental results with the standard deviation significant appropriate number of significant digits When documenting experimental data it is important how many significant figures for mean not to state the data with too much precision That is the number of significant digits should reflect how many sig figs for relative standard deviation the level of experimental uncertainty How do you know what the level of experimental uncertainty and therefore the precision of your measurements is The best way is to take