Questions tagged [percentage]

Number or ratio expressed as a portion of 100

237 questions
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weighing percentage changes by number of samples

Applying one simple formula for percentage change. This: 100 * (8 - 2) / 2 = 300% gives the same results as this: ...
18 views

Is my formula for percentage change wrong? [on hold]

I know the normal formula for calculating percentage change is: ((y2 - y1) / y1) But I've been using the following forever and I never get a wrong answer: ...
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Calculating per cent improvement in test error

I’ve come across this statement regarding an improvement percentage and I don’t know if it’s okay. It says this: The training error and test error using the neighborhood model are 0.34 and 0.54 ...
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Using glmrob function in R with proportional/percentage dependent variable

I have performed a glmrob to infer whether belonging to one of the treatment groups causes a higher % in success. I have used the following code: ...
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How to calculate percentages using z scores?

sample distribution of 10 (20,12,8,10,7,11,13,6,4,16) miles What percent of the commuters travel more than 8 miles to class?
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How to determine the percentage difference between two quantities associated with uncertainty measure

Say I have two quantities 10 ± 2 and 12 ± 3 (uncertainty is standard error). How do I determine the percentage difference between them? Or should I determine it at all (There is no meaning to do it in ...
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Is there a signed (ie anti-symmetric) version of SMAPE?

The symmetric mean absolute percent error (SMAPE) is a symmetrized version of percent error with the formula: $$\frac{200\%}{n}\sum_i\frac{|x_i - y_i|}{|x_i| + |y_i|}$$ SMAPE is symmetric: ...
63 views

which regression to use when response variable is in percentage [duplicate]

Hello I am working on a regression problem with a data set where my predictor variables are in the multiples of 10,000 however my response variable is in percentages. I tried to fit a linear ...
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Proper analysis procedure of paired rate comparisons - ratio or difference?

I have a set of population counts where each row represents a different region, and variables show overall counts and counts/percentages within specific groups/criteria. I am interested in the cross-...
420 views

Comparing a distribution of percentages

I have two populations that I would like to compare, each of which contains N samples. Each sample itself contains many events that can be categorized into 20 different, mutually exclusive, categories....
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Two way ANOVA with percent change

I have two groups of animals: "active cycle" and "inactive cycle". Within each group, there are two groups: "control" and "treated". I measured the levels of a specific receptor for each animal in ...
1k views

Comparing retention rates with differing sample sizes

I'm looking to compare the retention rate of people who attended an event and those who did not. The list of those who did not (70) is significantly larger than those who have (28). Here is an ...
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Comparing percentages with unequal sample sizes

I've spent some time collecting participation data on a schools competition. To sum it up: Roughly speaking 1000 schools take part in the initiative every year. Only 10 schools become finalists. ...
308 views

How do I test difference in Percentages?

I have some survey data and know the number and percentage of "yes" responses. How do I determine if any of the percentage yes regional responses are statistically different from the national yes ...
2k views

Confidence Interval for a Percent Change

A mentor has asked me to calculate the 95% confidence interval surrounding a percent change. To help frame the question, I have calculated the incidence of a disease within the population as follows: ...
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How to interpret coefficient when the dependent variable is a percentage change?

I am having some trouble interpreting my regression output. My model is LN of transaction volume = alpha + $\beta_1$_RER + control variables RER is defined as the change in the average exchange rate ...
32 views

How do I calculate relative proportion of a fraction with respect to total value?

I have several curves in one graph (see fig.). There are 5 discernible segments within each curve that are individual slopes. Within each "x-coordinate segment" there are five samples with their ...
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Appropriate analysis for univariate proportion data and environmental variables

I'm new to statistics so am trying to choose the best analysis to find if; There is a difference between canopy cover (0-100%) at different sites There is a relationship between canopy cover and ...
2k views

Percentages as the response variable in GLMM (glmer), proportional binomial or not?

After looking through several questions on stackexchange, and even applying many of the suggested methods I have come to a point where I would like to have an expert's advice if the methods applied on ...
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percent change from baseline

i have a 10 samples with baseline and follow up scores. I need to calculate a percentage increase or decrease based on the scoring scale, in this case its 0-56, and the objective (whether the ...
197 views

Testing statistical significance of three percentages with ANOVA?

I want to compare the mortality rates of three groups. Can I use ANOVA? If so, how will I deal with the percentages?
189 views

transformation of response variable which is in percentage

Here's my data. https://www.dropbox.com/s/puf57efqkdl8zt0/data.csv?dl=0 It's too big, therefore I did not know to use the dput(data) command. I am using a ...
64 views

Modelling a percentge as a dependent variable

I have a dataset containing 4 variables: Y - the dependent variable. This is a percentage of students in a school that choose to take an external exam. The values vary from 20% to 70%. X - the ...
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Statistic to measure no.of cancelled members

These percentages indicate how many male vs female members cancelled a subscription we offer. Male Female 22% 13% Looking at the ...
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Comparison of categorical percentages

I apologize if this has been asked, but I couldn't seem to find an answer anywhere. I have two sets of data. Each is made up of 5 categories. These categories are ordinal as they are a 5 point ...
41 views

Distance measure for binary arrays

Basically if I have binary sequence that I want to check against, and I want to determine how far other binary sequences are to this first sequence, what is the most appropriate measure to use. The ...
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How to create a scale combining normalized percentile scores to get an overall result

I am trying to work out a scale for assessing a person’s risk for a particular behavior (like rob a bank). The likelihood of this behavior occurring or not occurring will be based on scores for a ...
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How do I convert a survey scale [7-point, -3 to 3] to a 7-point scale [1-7]?

I am working with a survey scale that is from -3 to 3. I have a mean value of .94 and I want to identify if there are ceiling effects, but I need to change the entire scale to 1-7 in order to ...
22 views

Interaction effects for independent variables in percentages

If the Independent variables are in percentages, then will it make sense to calculate interaction effects using the original figures? or do I need to make any changes?
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Regression equation using percentage values in R : Request your help for a beginner

Can percentage values be independant variables? Can I use then as it is, or do I need to take log. And also if I have to consider interaction effects when independent variables are percentages, how ...
8k views

What are the issues with using percentage outcome in linear regression?

I have a study where many outcomes are represented like percentages and I'm using multiple linear regressions to asses the effect of some categorical variables on these outcomes. I was wondering, ...
81k views

Percentile vs quantile vs quartile

What is the difference between the three terms below? percentile quantile quartile
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Comparing percentages based on likert scale by year

I'm reviewing an analysis someone else has done on some Likert scale data. They've assigned each point on the scale 1-5 (1 = bad, 2 = poor etc.), found the average score in each area, and then ...
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Modelling percentage and proportion data with GLM's [duplicate]

I would like a simple answer, if there is one, to a question I cannot seem to find on here. What is the best way to model percentages? Say I have a glass that is empty and I fill it with liquid ...
12 views

Average percentages [duplicate]

Hi I am trying to average percentages but what each percentage represents is not equal. The 5 numbers are : 100%, 0%, 0%, 20%, 75% 100% represents 4 items 20% represents 10 items 75% ...
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Is it reasonable to display “percentage data” in a boxplot, why?

I have data that are in fact percentages of C (bound to clay) combusted in a certain temperature interval. Exemplary data: ...
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What model should I use if I want to describe the relationship between the % and binary outcome

I want to model a relationship between the % of students who received a flu vaccine at a certain school and whether their school had a flu outbreak or not. Thanks
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What statistics test to compare the repartition of multiple choices between two groups?

I made an experiment about UX where the participant has to detect among five differents configurations the one that he prefers. The configurations are slightly different and are presented randomly 3 ...
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Comparing percentages from survey results with different response rate

I have to compare survey results based on a questionnaire floated. Out of total 50 questions, A responded for 40 questions. Out of 40 questions responded, answer for 30 questions are Yes. Out of ...
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Ratio measure vs. difference measure?

I am comparing food inflation estimates from different sources for the same year and country. Food inflation can be negative or positive, e.g. year 2010: 5% in Source A and 7.5% in Source B; year 2011 ...
491 views

Should descriptive statistics on percentages data be weighted?

I'm trying to put together descriptive statistics for a set of differently sized groups of students. For each group of students, let's say I know the # of students who are left handed. I'd like to ...
113 views

On average of percents

I have read some pages about how to calculate the average of percents. However, still I don't understand something... Assume data points are organized in the following manner: We have two categories ...
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regression with percentage DV and multiple dummy IV

I am running a market analysis about e-mail responses for my marketing class. I have the following data entries: Observations: 400 different sequences of e-mails where sent to different target ...
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Regression Relationship Between Fraction and Whole Number

I am trying to determine the best regression model to use to determine if there is a relationship between clicks (independent variable) (represented as a whole ...
59 views

How to standardize count data for different sampling site sizes

I want to do a linear regression for my data but I’m not sure what I need to do with my raw data before running a linear regression. I have counts for species in several forests of differing sizes. I ...
61 views

Difference in Quantile and cumulative percentage

How would you differentiate between the quantile function and cumulative percentage below? Note the treatment of numerics as categorical when grouping is performed. When would you use one over the ...
27 views

Interpretation of the phrase “percent reduction relative to”

In the book Freakonomics, the following phrases appear: "From 1960 to 1985, the number of police officers fell 50 percent relative to the number of crimes. I interpret the above to mean that  r_{...
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Regression with frequency rating in percent as dv

I seem to have a similar issue as asked in this thread, nevertheless I'm still clueless about what model I have to fit to my data. I conducted a repeated measure experiment (consisting of 2 sessions) ...