Statistics Calculator. Our statistics calculator is the most sophisticated statistics calculator online. It can do all the basics like calculating quartiles, mean, median, mode, variance, standard deviation as well as the correlation coefficient Calculator Use Calculate basic summary statistics for a sample or population data set including minimum, maximum, range, sum, count, mean, median, mode, standard deviation and variance. Enter data separated by commas or spaces. You can also copy and paste lines of data from spreadsheets or text documents Critical Values of Q Calculator . Critical values of the studentized range distribution (Q) are commonly used in Tukey's range test. A continuous probability distribution that arises during the estimation of the range of a normally distributed population in circumstances where the population SD is unknown and the size of the sample is also less is called as the Studentized range distribution * Statistics Calculators Here you'll find a set of statistics calculators that are intuitive and easy to use*. Included are a variety of tests of significance, plus correlation, effect size and confidence interval calculators Calculator Use This quartile calculator and interquartile range calculator finds first quartile Q 1, second quartile Q 2 and third quartile Q 3 of a data set. It also finds median, minimum, maximum, and interquartile range. Enter data separated by commas or spaces

- Free Statistics Calculator - find the mean, median, standard deviation, variance and ranges of a data set step-by-step This website uses cookies to ensure you get the best experience. By using this website, you agree to our Cookie Policy
- P-hat, also denoted p^, is a term used in statistics to describe the probability of an event occurring base on a sample size. In other words, if p is the probability of the entire population, p^ is the probability of just a subset or sample of that population
- e the critical value(s) for two-tailed tests, as well as for one-tailed tests. It works for most common distributions in statistical testing: the standard normal distribution N(0,1) (that is, when you have a Z-score), t-Student, chi-square, and F-distribution.. What is a critical value
- ute and QT interval expressed either in seconds or milliseconds. The QT values can be obtained from the ECG test
- and are read a p hat and q hat. In a survey of 1000 U.S. teens, 372 said that they own smart phones. Find the point estimate for the population proportion of U.S. teens who own smart phones. n = 1000 and x = 372 Sample Proportio

- Critical Values of Q This section will calculate the.05 and.01 critical values for the Studentized range statistic Q. To proceed, enter the number of groups in the analysis (k) and the number of degrees of freedom, and then click «Calculate». Note that the value of k must be between 3 and 10, inclusive
- This expected value calculator helps you to quickly and easily calculate the expected value (or mean) of a discrete random variable X. Enter all known values of X and P(X) into the form below and click the Calculate button to calculate the expected value of X. Click on the Reset to clear the results and enter new values
- Statistics Calculator: Range. Use this calculator to compute the range from a data set. Data is from: Population Sample Enter comma separated data (numbers only): Range Calculator Instructions. This calculator computes the range from a set of values: Type or paste all observed values in the box above. Values must be numeric and separated by.

P-Hat Confidence Interval Calculator: Enter N Enter x (Number Sampled that match criteria) Enter Confidence Percentag The normal distribution is the most commonly used distributions in all of statistics. This tutorial explains how to use the following functions on a TI-84 calculator to find normal distribution probabilities: normalpdf(x, μ, σ) returns the probability associated with the normal pdf where: x = individual value; μ = population mean; σ = population standard deviatio

q hat, the hat symbol above the q means estimate of r: Pearson's product moment correlation coefficient SD: standard deviation (of a sample, ) - a measure of variability around the mean - Greek lower case sigma (σ) is used for population standard deviation. S ** Q-crit for df = 120 is 3**.685 and the Q-crit for df = 240 id 3.659. A linear interpolation would give the value 3.6772, which can be calculated using the Real Statistics formula =QCRIT(4,156,0.05,2). The Real Statistics formula =QINV(0.05,4,156,2), which does not use the table, will usually give a more accurate answer, which in this case is 3.6726

Complete Binomial Distribution Table. If we apply the binomial probability formula, or a calculator's binomial probability distribution (PDF) function, to all possible values of X for 5 trials, we can construct a complete binomial distribution table The Standard Deviation Rule applies: the probability is approximately 0.95 that p-hat falls within 2 standard deviations of the mean, that is, between 0.6 - 2(0.01) and 0.6 + 2(0.01). There is roughly a 95% chance that p-hat falls in the interval (0.58, 0.62) for samples of this size ** p-hat = 612/1100 = **.5564. Although sigma-p-hat is defined using p, the proportion of the population, we do not know what p is (we are constructing a confidence interval for p). Therefore we must use p-hat in lieu of p. sigma-p-hat = (.56 × .44 /1100)^.5 = .015 The z-score for a 95% confidence interval is 1.9 The Test **Statistic** for One Population Mean **Calculator** is a **calculator** that is used when the variable is numerical and only one population or group is being studied. Let's say that an economist, Economist William German, believes that students who work and go to college only spend, on average, $15 a day on food. The variable, money, is numerical.

- When you're computing E, I suggest that you find the sample proportion, p hat, and save it to P on the calculator. This way, you can find q as (1-p). Do NOT round the value for p hat and use the rounded value in the calculations
- e the sample size of a given survey per the sample proportion, margin of error, and required confidence level
- This video shows basic operation of CASIO ClassWiz for Regression in statistics. [Compatible models ] fx-570EX, fx-991EX [Related Topics] Statistics, Regress..
- Gematria Calculator Statistics Statistics for Gimatria phrases. (Type in a word or a number e.g. God, Devil, 100, 666 - To calculate gematria values
- Sampling dist. of p.hat p^ p^ L p ^ U Sampling distribution for p^: If the requirements are met it will have a normal distribution with p^ ˇ p^ = 0:556, ˙ p^ ˇ q p^q^ n = 0:117. Total shaded area is = 0:05, each tail has an area of =2 = 0:025. Thus, 95% con dence interval for pis (^p L;p^ U) = (0:326;0:785). Variation in CI of pfrom sample.
- Descriptive Statistics: Q 3: Quartile three: the third quartile: Descriptive Statistics: IQR: interquartile range: Q 3 - Q 1 = IQR: Descriptive Statistics: x ¯ x ¯ x-bar: sample mean: Descriptive Statistics: μ μ: mu: population mean: Descriptive Statistics: s s x sx: s: sample standard deviation: Descriptive Statistics: s 2 s 2 s x 2 s x.
- Test grade calculator. Teachers grader. This website uses cookies to improve your experience, analyze traffic and display ads

In statistics, a quartile, a type of quantile, is three points that divide sorted data set into four equal groups (by count of numbers), each representing a fourth of the distributed sampled population. There are three quartiles: the first quartile (Q1), the second quartile (Q2), and the third quartile (Q3) An outlier in a distribution is a number that is more than 1.5 times the length of the box away from either the lower or upper quartiles. Speciﬁcally, if a number is less than Q1 - 1.5×IQR or greater than Q3 + 1.5×IQR, then it is an outlier Typically, we require that \(n \hat p \ge 10\) and \(n (1-\hat p) \ge 10\). Observe that if you want to use this calculator, you already need to have summarized the total number of favorable cases \(X\) (or instead provide the sample proportion). This is not a confidence interval calculator for raw data

To use this calculator, a user selects the null hypothesis mean (the mean which is claimed), the sample mean, the standard deviation, the sample size, and the significance level and clicks the 'Calculate' button. The resultant answer will be automatically computed and shown below, with an explanation as to the answer.. Try out our free online statistics calculators if you're looking for some help finding probabilities, p-values, critical values, sample sizes, expected values, summary statistics, or correlation coefficients. Recent Posts. How to Create a Residual Plot on a TI-84 Calculator Home; Math; Probability & Statistics; binomial distribution calculator - to estimate the probability of number of success or failure in a sequence of n independent trials or experiments. The success or failure experiment which is used in this calculator is also called as Bernoulli's experiment or distribution or trial and is the fundamental for the binomial test of statistical significance The calculator will find the p-value for two-tailed, right-tailed and left-tailed tests from normal, Student's (T-distribution), chi-squared and Fishe Social Science Statistics. Welcome! This web site offers free resources for students and researchers working with statistics in the social sciences. All the calculators and tools featured here have been designed with ease of use and clarity of presentation in mind

p-value from t-test. Recall that the p-value is the probability (calculated under the assumption that the null hypothesis is true) that the test statistic will produce values at least as extreme as the t-score produced for your sample.As probabilities correspond to areas under the density function, p-value from t-test can be nicely illustrated with the help of the following pictures Enter a steamid (765...) to be redirected to calculator. Paste a profile link (/id/ or /profiles/) to be redirected to calculator. Paste any url that contains app/, sub/, bundle/, or depot/ to be redirected to the relevant page. Click anywhere outside the search field to close this popup. Search suggestions are powered by Algolia instant search Sample Size Calculator Terms: Confidence Interval & Confidence Level. The confidence interval (also called margin of error) is the plus-or-minus figure usually reported in newspaper or television opinion poll results. For example, if you use a confidence interval of 4 and 47% percent of your sample picks an answer you can be sure that if you had asked the question of the entire relevant. statistical calculator - Population Proportion - Sample Size. More Information Worked Example. If a retailer would like to estimate the proportion of their customers who bought an item after viewing their website on a certain day with a 95% confidence level and 5% margin of error, how many customers do they have to monitor Percentage Calculator. Calculate a percent of a value before and after, or find the percentage change between two values, and see how to calculate each one. Examples: Apply 10% to 100, and see how each value was calculated Try 12.5% of 50: the 50 less 12.5% value is 43.75. Then try 12.5% of 43.75 (shows that before a 12.5% reduction it was 5

- e if means of two data sets differ significantly. This calculator will generate a step by step explanation on how to apply t - test
- Statistics. Arithmetic Mean Geometric Mean Quadratic Mean Median Mode Order Minimum Maximum Probability Mid-Range Range Standard Deviation Variance Lower Quartile Upper Quartile Interquartile Range Midhinge Standard Normal Distribution. linear-equation-calculator. en. Related Symbolab blog posts. Middle School Math Solutions - Equation.
- Standard Deviation Calculator. Here are the step-by-step calculations to work out the Standard Deviation (see below for formulas). Enter your numbers below, the answer is calculated live: When your data is the whole population the formula is
- Standard Deviation Calculator Instructions. This calculator computes the standard deviation from a data set: Specify whether the data is for an entire population or from a sample. Enter your population or sample observed values in the box above. Values must be numeric and may be separated by commas, spaces or new-line
- We have a very complete collection of majority of the most common statistics calculators that you may need for High School and College, including all kinds of z-tests and t-tests, for one two populations, Chi-Square tests (for variance, goodness of fit and independence), and F-tests (different types of ANOVA)
- Using Your TI-83/84 Calculator: Estimating a Population Proportion Dr. Laura Schultz The 1-PropZInt command is used to construct a confidence-interval estimate of a population proportion (p) or percentage. 1. Press and use ~ to scroll right to the TESTS menu. 2. Scroll down to A:1-PropZInt and press Í. 3
- About standard deviation. Definition: The standard deviation measures how close the set of data is to the mean value of the data set. If data set have high standard deviation than the values are spread out very much. If data set have small standard deviation the data points are very close to the mean

Step 1: Enter the Equation you want to solve into the editor. The equation calculator allows you to take a simple or complex equation and solve by best method possible P values is a function of the observed sample results in T test. Calculate two tailed and one tailed p values with the given t test and degree of freedom using Probability (P) Value T test Calculator This article was co-authored by Mario Banuelos, Ph.D.Mario Banuelos is an Assistant Professor of Mathematics at California State University, Fresno. With over eight years of teaching experience, Mario specializes in mathematical biology, optimization, statistical models for genome evolution, and data science Calculator; What is the Confidence Interval Formula? In statistics, the term Confidence Interval refers to the range of values within which the true population value would lie in the case of a sample out of the population. In other words, the confidence interval represents the amount of uncertainty expected while determining the sample. Random Number Generator. Use this generator to get a trully random, cryptographically safe number. It generates random numbers that can be used where unbiased results are critical, such as when shuffling a deck of cards for a poker game or drawing numbers for a lottery, giveaway, or sweepstake

Using the p-value to z-score calculator. If you have a p-value statistic for a given set of data and want to convert it to its corresponding Z score this P to Z calculator will help you accomplish that. Simply enter the P-value and choose whether it was computed for a one-tailed or two-tailed significance test to calculate the corresponding Z score using the inverse normal cumulative PDF. General LS Criterion: In least squares (LS) estimation, the unknown values of the parameters, \(\beta_0, \, \beta_1, \, \ldots \,\), : in the regression function, \(f(\vec{x};\vec{\beta})\), are estimated by finding numerical values for the parameters that minimize the sum of the squared deviations between the observed responses and the functional portion of the model Free Statistics Calculators: Home > Z-score Calculator Z-score Calculator This calculator will compute a Z-score (i.e., a standard normal score), given an unstandardized raw value, the population mean, and the standard deviation of the population to which the unstandardized value belongs Q 1: lower / first quartile: 25% of population are below this value : Q 2: median / second quartile: 50% of population are below this value = median of samples : Q 3: upper / third quartile: 75% of population are below this value : x: sample mean: average / arithmetic mean : x = (2+5+9) / 3 = 5.333: s 2: sample variance: population samples. In inferential statistics, data from a sample is used to estimate or guess information about the data from a population. Point estimation involves the use of sample data to calculate a single value or point (known as a statistic) which serves as the best estimate of an unknown population parameter

In statistics, a data sample is a set of data collected from a population. Typically, the population is very large, making a complete enumeration of all the values in the population impossible. The solution is to take a sample of the population with manageable size, say 5,000, and use that sample to calculate statistics How do you know you are dealing with a proportion problem? First, the underlying distribution is a binomial distribution. (There is no mention of a mean or average.) If X is a binomial random variable, then X ~ B(n, p) where n is the number of trials and p is the probability of a success. To form a proportion, take X, the random variable for the number of successes and divide it by n, the. In statistics, a lower-case p without a caret above it stands for population proportion. When a statistician calculates the population proportion, the entire group is being factored into the equation. However, the p hat symbol is used to refer to an even smaller group: a proportion of the sample of the entire group Find the Value of X calculator is a free online tool that gives the value of x when two values are given. BYJU'S online find the value of x calculator tool makes the calculations faster and easier where it displays the output in a fraction of seconds

Click on Analyze - Descriptive Statistics - Q-Q Plots. Then shift the newly created variable ZRE_1 to the Variables box and click Paste. The code that we get from this is: PPLOT /VARIABLES=ZRE_1 /NOLOG /NOSTANDARDIZE /TYPE=Q-Q /FRACTION=BLOM /TIES=MEAN /DIST=NORMAL Difference Quotient Calculator is a free online tool that displays the slope of the secant line between two points. BYJU'S online difference quotient calculator tool makes the calculation faster, and it displays the difference quotient in a fraction of seconds Practice and review questions follow each lesson. Online calculators take the drudgery out of computation. Perfect for self-study. AP Statistics. Here is your blueprint for test success on the AP Statistics exam. AP Tutorial: Study our free, AP statistics tutorial to improve your skills in all test areas */ Access a broad range of mine safety and health data including information about mine inspections, accidents, injuries, illnesses, violations, employment, production totals, air sampling, and more. Use our compliance calculator tools to find a mine's history of key health and safety violations

Confidence Interval Calculator for the Population Mean. This calculator will compute the 99%, 95%, and 90% confidence intervals for the mean of a normal population, given the sample mean, the sample size, and the sample standard deviation. Please enter the necessary parameter values, and then click 'Calculate' Another way to answer the question what is p hat in statistics is to say that p hat is actually a fraction of a fraction. P always relates to a whole as opposed to a fraction. This whole is the entire population of either the world or a city. However, where p vs phat differ is that p hat stats isolate a sector of the population and refine the. In linear algebra, a QR decomposition, also known as a QR factorization or QU factorization is a decomposition of a matrix A into a product A = QR of an orthogonal matrix **Q** and an upper triangular matrix R.QR decomposition is often used to solve the linear least squares problem and is the basis for a particular eigenvalue algorithm, the QR algorith A Population Proportion During an election year, we see articles in the newspaper that state confidence intervals in terms of proportions or percentages. For example, a poll for a particular candidate running for president might show that the candidate has 40% of the vote within three percentage points (if the sample is large enough)

The t distribution calculator accepts two kinds of random variables as input: a t score or a sample mean. Choose the option that is easiest. Here are some things to consider. If you choose to work with t statistics, you may need to transform your raw data into a t statistic The numbers \(\hat{\beta _1}\) and \(\hat{\beta _0}\) are statistics that estimate the population parameters \(\beta _1\) and \(\beta _0\). We will compute the least squares regression line for the five-point data set, then for a more practical example that will be another running example for the introduction of new concepts in this and the.

- Suppose that we are working with a 95% level of confidence. We want to look up the z-score z*for which the area between -z* and z* is .95.From the table, we see that this critical value is 1.96
- 210 Statistics Inference for Linear Regression Assignment -Sec 11.3 1. The data set below contains tar and nicotine levels in 13 randomly selected brands of cigarettes Tar (mg). 5 16 24 24 8 9 9 24 15 18 17 5 10 Nicotine (mg), y 0.4 1.1 1.7 1.4 0.5 0.8 0.8 1.5 1.2 1.3 1.3 0.5 0.8 (a) Use your graphing calculator to find an equation of the.
- Archive of expert answers to Statistics questions asked by students like yo
- Plug in your Z-score, standard of deviation, and confidence interval into the sample size calculator or use this sample size formula to work it out yourself: This equation is for an unknown population size or a very large population size. If your population is smaller and known, just use the sample size calculator above, or find it here
- If you are conducting a survey, you will need to decide on the number of people you need to sample. That, of course, depends upon how confident you want to be and how accurately you want to predict the population proportion based on your survey results. If you want to be 95% confident, that is Minimum Sample Size Calculator for Population Proportion Confidence Interval Read More
- This unit will calculate and/or estimate binomial probabilities for situations of the general k out of n type, where k is the number of times a binomial outcome is observed or stipulated to occur, p is the probability that the outcome will occur on any particular occasion, q is the complementary probability (1-p) that the outcome will not occur on any particular occasion, and n is the number.
- Calculated value of p-hat statistic of first sample Calculated value of p-hat statistic of second sample Sample size n of first sample Sample size n of second sample CI for Difference of Population Means ( μ 1 - μ 2 ) Population σ's are unknown, but we assume σ 1 = σ 2. Sample statistics are taken from two independent simple random samples

With help of this calculator you can: find the matrix determinant, the rank, raise the matrix to a power, find the sum and the multiplication of matrices, calculate the inverse matrix. Just type matrix elements and click the button. Leave extra cells empty to enter non-square matrices 3-way Percent Calculator Find the sentence that represents your problem. Enter the values and click Calculate. What is % of? Answer: is what percent of? Answer: % is % of what? Answer:. Again, use the variables above to refer to a t distribution table, or use a t score calculator. For this example, the critical value is 0.1387 . Thus, if the life of a CFL light bulb is 160 days, there is a 13.87% probability that the average CFL bulb for 20 randomly chosen bulbs would be less than or equal to 150 days Calculators We offer 88 powerful online math calculators designed to help you solve basic math problems from working with fractions, through the triangle calculator to the statistical calculator. We continually improve our calculators based on feedback from our users Calculator.tech provides online calculators for multiple niches including mathematical, financial, Health, informative, Chemistry, physics, statistics, and conversions. You can use any calculator for free without any limits

- us the Sum of the Weights of your course work
- Confidence interval (limits) calculator, formulas & workout with steps to measure or estimate confidence limits for the mean or proportion of finite (known) or infinite (unknown) population by using standard deviation or p value in statistical surveys or experiments
- ars in Nuclear Medicine 8:283-298. Zhou XH, NA Obuchowski, DK McClish (2002) Statistical methods in diagnostic medicine. New York: Wiley
- This life expectancy calculator can give an idea of the life expectancy based on current age, smoking habits, gender and several other important lifestyle choices
- e the

Free Summation Calculator. The free tool below will allow you to calculate the summation of an expression. Just enter the expression to the right of the summation symbol (capital sigma, Σ) and then the appropriate ranges above and below the symbol, like the example provided. Press ANSWER to see the result ** It can be simplified, but the correct simplification is not to simply place the product of p-bar and q-bar over the sum of the n's**. Remember that to add fractions, you must have a common denominator, that is why this simplification is incorrect. The correct simplification would be to factor a p-bar and q-bar out of the two expressions

Sample Size, Confidence Level, Confidence Interval Calculator. Sample Size calculator Formula: ss = Z 2 × P × (1 - P) / C 2 Where: Z: Z value (1.96 for 95% confidence level, 2.58 for 99%) P: Choice percentage ( 0 - 100 ) C: Confidence Interval ( 0 - 100 ) If population is small, the sample size need adjustment as follows, otherwise, just leave the population field empty This calculator will conduct a complete one-sample t-test, given the sample mean, the sample size, the hypothesized mean, and the sample standard deviation. The results generated by the calculator include the t-statistic, the degrees of freedom, the critical t-values for both one-tailed (directional) and two-tailed (non-directional) hypotheses, and the one-tailed and two-tailed probability.

The **calculator** will generate a step by step explanation along with the graphic representation of the area you want to find. Result: $$ P~ ( X 76.7 ) = 0.7486 The final exam scores in a **statistics** class were normally distributed with a mean of $58$ and a standard deviation of $4$ In statistical quality control, the p-chart is a type of control chart used to monitor the proportion of nonconforming units in a sample, where the sample proportion nonconforming is defined as the ratio of the number of nonconforming units to the sample size, n.. The p-chart only accommodates pass/fail-type inspection as determined by one or more go-no go gauges or tests, effectively. Algebra Calculator - get free step-by-step solutions for your algebra math problems. This website uses cookies to ensure you get the best experience. By using this website, you agree to our Cookie Policy. Learn more Accept. Statistics. Arithmetic Mean.

Let our test statistics be z = -2.01. The p-value would be P(z <-2.01) or the area under the standard normal curve to the left of z = -2.01. Notice that the p-value is .0222. We can find this value using the Normalcdf feature of the calculator found by pressing [2nd] [VARS] as noted above Test Statistic Calculator designed for 1-Population Mean is used when there is a numerical variable with just a single population or a group being studied. Say, for example, an economist named Julia Williams believes that the students who tend to go to work while spending the rest time at college, pay a mere $15 per day for food

Probability of taking black ball in k first trials of n total trials is given as: it's a probability of only one possible combinations. According to combinatorics formulas the following k success combinations number is possible in n trials: see Combinatorics. Combinations, arrangements and permutations p′ = 0.842 is the sample proportion; this is the point estimate of the population proportion. q′ = 1 - p′ = 1 - 0.842 = 0.158 Since CL = 0.95, then α = 1 - CL = 1 - 0.95 = 0.05 = 0.025 Search the world's information, including webpages, images, videos and more. Google has many special features to help you find exactly what you're looking for So far, we've discussed the behavior of the statistic p-hat, the sample proportion, relative to the parameter p, the population proportion (when the variable of interest is categorical). We are now moving on to explore the behavior of the statistic x-bar, the sample mean, relative to the parameter μ (mu), the population mean (when the.

Hat Matrix and Leverage Hat Matrix Purpose. The hat matrix provides a measure of leverage. It is useful for investigating whether one or more observations are outlying with regard to their X values, and therefore might be excessively influencing the regression results.. Definitio This quartile calculator uses McCabe's formula that does not take account of the median of the data set when computing the 1 st and the 3 rd quartiles. Practically the 1 st quartile is the median for the data set that contains all the values at the left of the 2 nd quartile median, while the 3 rd quartile is the median of the data set that. Graphing Calculator 450 students claimed to have test anxiety. This will be p-hat, or the sample proportion. We can calculate this by dividing 450 by 1000, or 0.45. The population proportion, p, is 50%, or 0.50. The complement of p, or q, can be found by calculating 1 minus 0.50, or 0.50. The sample size is 1000 Solve for X Calculator. The calculator will find the `x` (exact and numerical, real and complex) in the given equation. Show Instructions. In general, you can skip the multiplication sign, so `5x` is equivalent to `5*x`. In general, you can skip parentheses, but be very careful: e^3x is `e^3x`, and e^(3x) is `e^(3x)`

A common way to quantify the spread of a set of data is to use the sample standard deviation.Your calculator may have a built-in standard deviation button, which typically has an s x on it. Sometimes it's nice to know what your calculator is doing behind the scenes q: Use trigonometric substitutions to evaluate the integrals in Problem. Arrange each polynomial in descending powers of x, and identify the degree, leading term, and leading coefficient of the polynomial

Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack Exchang I know hat values measure how distant a point it form its corresponding fitted point. I also know Cook's distance measures the influence of a point (whether it changes the fitted line) but what exactly does it measure? I other words, what exactly is the difference between hat values and Cook's distance On the other hand, the q-value is 0.0172, which means we should expect 1.72% of all the compounds with q-value less than this to be false positives. This is a much better situation. We know that 800 compounds have a q-value of 0.0172 or less and so we should expect 800 × 0.0172 = 13.76 false positives rather than the predicted 36