95% confidence interval (?) [-7619 BB, 12619 BB] You may put in the description than you use std dev per 100 hands. Calculating a confidence interval allows us to get an idea about the possible range of realizations of a random variable with a reasonable degree of certainty. The first thing the Variance Calculator does is to run 20 samples over the number of hands, win rate and standard deviation specified. If n > 30, use and use the z-table for standard normal distribution. Confidence level calculator find out interval with the help of Z statistic. When we compute the variance, we come up with units in seconds squared. Before you can compute the confidence interval, calculate the mean of your sample. Estimate the population variance and standard deviation for the percentage rate of home ownership with 99% confidence. One sample and two sample confidence interval calculator with CIs for difference of proportions and difference of means. Question: In a tree, there are hundreds . Steps . First we must find our critical chi-squared values associated with our alpha risk and sample size, let's do that first. I noticed that the 20 random graphs in cg variance simulator almost always have one graph that is outside of the 2 std deviation line.. Presumable its the probability that a player loses there entire roll if they played the same stake and didnt drop down? A confidence interval for the true mean can be constructed centered on the sample mean with a width which is a multiple of the square root of the sample variance. The consent submitted will only be used for data processing originating from this website. Find the sample mean. This category only includes cookies that ensures basic functionalities and security features of the website. For estimating the mean there are two types of confidence intervals that can be used. To use this calculator, a user simply enters in the mean, standard deviation, the sample size of the data, and the confidence interval s/he wants to find out, and clicks the 'Calculate' button. The sample variance is given by, $$ \begin{aligned} s^2&=\frac{1}{n-1}\bigg(\sum_{i=1}^nx_i^2-\frac{\big(\sum x_i\big)^2}{n}\bigg)\\ &=\frac{1}{8-1}\bigg(39017.17-\frac{\big(557.7\big)^2}{8}\bigg)\\ &=\frac{1}{7}\bigg(39017.17-\frac{311029.29}{8}\bigg)\\ &=\frac{1}{7}\big(138.5087\big)\\ &=19.787 \end{aligned} $$. Edit: This didnt really answer your question though. t = t statistic determined by confidence level Lower win rates drastically increase the Likelihood of extended down swings. Everything is super misleading. it would be really awesome if there was an option to input a bankroll amount and calculate the risk of ruin based on the input bankroll, You can calculate BR for RoR directly 66.0, 75.8, 70.9, 73.9, 63.4, 68.5, 73.3, 65.9. Out of these cookies, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. Winnings are measured in big blinds. where Phi(x) is the standard normal cdf. Note that computing a standard confidence interval for R does . Hi, using your adjusted winrate makes the results more accurate. The formula for Confidence Interval can be calculated by using the following steps: Step 1: Firstly, determine the sample mean based on the sample observations from the population data set. Confidence level is $1-\alpha = 0.99$. This chart uses two vertical axes. For example the variance for a single fair coin flip is 0.25. The second table showshow long downswings last on average. Help explaining this would be greatly appreciated. Suppose we wanted to calculate a 95% confidence interval for . for 100000 hands = 0.001 WR is the winrate. Should you have any questions, encounter any errors or have ideas for improvements, please let me know. One is bb per 100 hands and is as in examples. Would love your thoughts, please comment. Probability of loss after 100000 hands (?) 31.0616% 1000000 / 100000000 = 0.01 Thirdly the calculator displays the 70% and 95% confidence . At least this will show the maximum impact all in hands have on the standard deviation. This number will appear as a rather boring straight and black line in the graph. RATIO OF MEANS CONFIDENCE INTERVAL. Given that sample size $n=8$ and sample variance is $19.787$ and standard deviation $s =4.4483$. s p2: pooled variance. Would it be possible to get the ability to set a target risk of ruin? M1 & M2 = sample means The critical values for the given \(\alpha\) and \(df_1 = n_1 - 1\) and \(df_2 = n_2 - 1\) degrees of freedom are \(F_L = F_{1-\alpha/2, n_2-1, n_1-1\) and \(F_U = F_{\alpha/2, n_2-1, n_1-1\). The last section of the Variance Calculator sheds some more light on potential downswings. X t / 2 s n. We say that we are ( 1 ) 100 % confident that the mean of the population is within the interval. If n < 30, use the t-table with degrees of freedom (df)=n-1. In my database I have 3.06 Million hands (NL100) with5 or 6 players. Confidence interval calculator find out population mean of a given sample. Standard deviation after 100000 hands (?) 5060 BB Thank you for that amazing tool, this is great ! It is denoted by. Hi, adelarosa, thanks for your great answer. We have winrate and observed winrate, any differences? Its good to see you back in these type of discussions. The methods used here are based on the assumption of sampling from a normally distributed p. Lots of folks may not care if their risk of ruin is 1.1% or 0.13%, though Im not sure everyone would describe a 1.1% risk of ruin as having assured a win. Some of the links on primedope.com are affiliate links and we may receive a commission if players sign up through one of the links. How to Replace Values in a Matrix in R (With Examples), How to Count Specific Words in Google Sheets, Google Sheets: Remove Non-Numeric Characters from Cell, t: the t-critical value based on the confidence level. An example of data being processed may be a unique identifier stored in a cookie. Minimum bankroll for less than 5% risk of ruin (?) 15338 BB. Let's say the standard deviation here is 30 lbs. Confidence Interval: A confidence interval measures the probability that a population parameter will fall between two set values. $99$% confidence interval estimate for population standard deviation is$$ \begin{aligned} \sqrt{6.83} &\leq \sigma \leq \sqrt{140.049}\\ 2.614 &\leq \sigma \leq 11.834. For the USA: So for the USA, the lower and upper bounds of the 95% confidence interval are 34.02 and 35.98. To perform this calculation you need to know your two sample means, the number of items in your samples, and the standard deviations for your two samples. Then the risk of ruin after n hands is given by: R = 1 + exp(-2*m*br/s^2)*Phi((br + m*n)/sqrt(n*s^2)) Phi((-br + m*n)/sqrt(n*s^2)). After completing this tutorial, you will know: That a confidence interval is a bounds on an estimate of a population parameter. BR is the required bankroll, This free online software calculator computes the confidence intervals for the one-sided and two-sided hypothesis test about the population variance for a given sample size sample. Hi would you be willing to add 3 sigma(99.7 %) below 70% and 95% confidence interval(?) ? It shows how often the simulated player was stuck in a downswing of at leastXbig blinds. Zar (1984) page 115 give an example of a calculation for a confidence interval on the variance when the confidence level is 95%, the variance is 18.0388, and the interval width is 23.91244. The range of outcomes is wider. The variance for 100 poker hands in NLH 6max is, say, 10000 (100 squared). Hi. Could someone please explain how could it be possible that 95% confidence interval is wider than 70% ? Use the following steps and the formula to calculate the confidence interval: 1. Introduction to Statistics is our premier online video course that teaches you all of the topics covered in introductory statistics. Is there a calc that does this that shows the same but without rake? Standard deviation (?) 160.00 BB/100 Really cool. Could you please provide a reference for the stated formula for finite n? Yes, bootstrap is an alternative for obtaining confidence intervals for the mean (and you have to make a bit of effort if you want to understand the method). This number will appear as a rather boring straight and black line in the graph. N would be the number of hands and the variance of the sum would be the sum of the variances of all the outcomes. This is misleading, but in the 20 samples graph, the best and worst are run out of 1000 trials. Added Feb 21, 2014 by REM in Statistics & Data Analysis. bb means Big Blinds and BB means Big Bets standard abbreviation. Some factors that affect the width of a confidence interval include: size of the sample, confidence level, and variability within the sample. = 5991. and which matches the minimum bankroll given in the example. Confidence Interval for the Difference Between Means. For a sample of size n with standard deviation s, we define a ( 1 ) 100 % confidence interval for as. Lets assume we have data given below : data = [45, 55, 67, 45, 68, 79, 98, 87, 84, 82] In this example, we calculate the 95% confidence interval for the mean using the below python code. Expected winnings (?) 2500.00 BB Try hard reloading the page (Ctrl-Shift-R) and see if that helps. What you need to know about them is that at any given time your winnings will be within these intervals with a probability of 70% and 95% respectively. Except you are considering the wrong population. At the confidence interval of 95%, the z score is 1.960 if you look at the table above. Calculate an appropriate bootstrap confidence interval. You also have the option to opt-out of these cookies. The first table shows theextent of downswing. The critical values of $\chi^2$ for $\alpha$ level of significance and $n-1$ degrees of freedom are $\chi^2_{(\alpha/2,n-1)}=\chi^2_{(0.005,7)}=20.278$ and $\chi^2_{(1-\alpha/2,n-1)}=\chi^2_{(0.995,7)}=0.989$. How does run it twice affect this? How do you calculate standard deviation after X hands? The risk of ruin and the necessary bankroll is calculated independently from the confidence interval. So the variance should be a tad higher. The confidence intervals in his graph have nothing to do with risk of ruin. $100(1-\alpha)$% confidence interval estimate of population variance $\sigma^2$ is$$ \begin{aligned} \bigg(\frac{(n-1)s^2}{\chi^2_{(\alpha/2,n-1)}}, \frac{(n-1)s^2}{\chi^2_{(1-\alpha/2,n-1)}}\bigg) \end{aligned} $$and, $100(1-\alpha)$% confidence interval estimate of population standard deviation $\sigma$ is$$ \begin{aligned} \bigg(\sqrt{\frac{(n-1)s^2}{\chi^2_{(\alpha/2,n-1)}}}, \sqrt{\frac{(n-1)s^2}{\chi^2_{(1-\alpha/2,n-1)}}}\bigg) \end{aligned} $$. . Add up all the values in your data set and divide the sum by the number of values in the sample. We can be $99$% confident that the population variance for the percentage rate of home ownership is between $6.8305$ and $140.0495$. A 0% risk of ruin at infinity is unachievable unless one starts with an infinite BR. Figure 2 - Output of Real Statistics ANOVA data analysis tool. Less Variance more winning? We'll assume you're ok with this, but you can opt-out if you wish. Put another way, wouldnt a 90 percent confidence interval be the correct interval to use instead of the 95 percent confidence interval since 5 percent of the time your result will be above the confidence interval (and here you dont care about bankroll since youre such a big winner) but on the other hand, 5 percent of the time your result will be below the interval and that is what youre interested in,. It runs in R which is a platform for statistical computing which free and very easy to install. The percentage rates of home ownership for 8 randomly selected states are listed below. To find a confidence interval for a difference between . document.getElementById( "ak_js_1" ).setAttribute( "value", ( new Date() ).getTime() ); Statology is a site that makes learning statistics easy by explaining topics in simple and straightforward ways. I cant see a filter for precisely what wed want here to include our realised fold equity, and also found this: http://forums.holdemmanager.com/manager-general/137851-open-shove-filter.html. . Thats about as small a risk of ruin as most people would care about, yet the bankroll is still off significantly. $99$% confidence interval estimate for population variance is$$ \begin{aligned} \frac{(n-1)s^2}{\chi^2_{(\alpha/2,n-1)}} &\leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{(1-\alpha/2,n-1)}}\\ \frac{7*19.787}{20.278} &\leq \sigma^2 \leq \frac{7*19.787}{0.989}\\ 6.83 &\leq \sigma^2 \leq 140.049. can anyone tell me why it is statistically more likely to run BELOW EV than it is to run ABOVE/EQUAL TO EV??? The bankroll needed for a 5% risk of ruin is about 2.2 times the bankroll that your method would compute. You divide this number by N squared(10000 squared) and you get the variance of the mean: Apart from showing asingle sample, this graph also shows some insightful information aboutdownswings. 99 % confidence interval estimate for population standard deviation is. It follows the following formula: The confidence interval can take any number of probabilities, with . Thank you for answering my question. This is why it is safe to always replace z-score with t-score when computing confidence interval. Definition of Confidence Interval for the t Distribution. 1-Prop z Interval (zInterval_1Prop) Computes a confidence interval for an unknown proportion of successes. 20 graphs, 1 should be over that 95% line sometimes right.. but not always. Especially since, even though I am a small winner in my games, I am perpetually running below EV and my actual winnings should be much higher than they currently are. Z. the number of tables change the results of the calculator? Instructions: Yes. I wrote some of it. Unfortunately, PokerTracker doesnt have a StdDev(evBB/100) readily available. Hands(?) 100000 The formula for the (1 - ) confidence interval about the population variance. I have also attached a derivation I did a while ago. Also, since this is a 95 percent confidence interval with both an upside and a downside, arent you actually calculating a 2.5 percent risk of ruin since 2.5 percent of the time you can do better than the upper limit results (and now you wont care about your bankroll requirements) which leaves only 2.5 percent for the downside? These cookies do not store any personal information. This is done by first ordering the statistics, then selecting values at the chosen percentile for the confidence interval. thanks. Or you can use our So the EV you used does not include the folds you get when you shoved (otherwise youd probably be making > 100 bb/100 EV). Cheers. These cookies will be stored in your browser only with your consent. If you are interested in only one population variance, you can use this You can find many references here https://en.wikipedia.org/wiki/Reflected_Brownian_motion. Hello, how identify Winrate in BB / 100? The calculation works on the assumption that the two population variances are equal (i.e., it uses a pooled standard deviation in order to calculate the standard error portion of the confidence interval calculation). It is important to note that all values in the confidence interval are equally likely estimates of the true value of ( 1- 2). 70% confidence interval (?) [-2560 BB, 7560 BB] Roughly speaking, every population parameter has a parametric expression to find a confidence interval. Continue with Recommended Cookies. Where: x is the mean. Using the example above with a win rate of 2.5 per 100 hands, a standard deviation of 100 BB per 100 hands, and a risk of ruin of 0.05 we get: BR = [ln(0.05) * 100 * 100] / [(-2 * 2.5)] BR for 5% RoR = 1.5 * (std.dev)^2 / WR With a 90% confidence level give a range where the variance of all road and racing bicycle wheels lie. EV (?) 2.50 BB/100 150bi+ downswing can appear after u already build your roll exp: 150bi-> 200bi, so it wont kill ya . Hi Mitch, these is the complete overview of my calculations. To view the purposes they believe they have legitimate interest for, or to object to this data processing use the vendor list link below. Only 29k of those (0.9%) had an all in before the river and a showdown. The rake is already considered in the win rate. Estimate the population variance and standard deviation for the percentage rate of home ownership with 99% confidence. Generally because players tend to play worse during down swings. VRCBuzz co-founder and passionate about making every day the greatest day of life. How do you simulate the samples and how do you calculate the confidence intervall? [-7.62 BB/100, 12.62 BB/100] Confidence intervals take into account the sample size and the possible population variance and give us an estimate of the real response. Thank you. Thus, the level of significance is $\alpha = 0.05$. Functions: What They Are and How to Deal with Them, Normal Probability Calculator for Sampling Distributions, confidence interval for variance when mean is known, confidence interval for mean regression responses. (Note that this information can sometimes be . The idea is as follows: Resample with replacement B times. Please enter your values above, and then hit the calculate button. http://forumserver.twoplustwo.com/showpost.php?p=37999024&postcount=26, The images of the graphical output are broken on your site, but they looked like this, https://drive.google.com/open?id=0B4WGSVwiTxCDa1BnUUZ3R2RId0k. The most commonly used confidence level is . You can see that as n goes to infinity, R becomes the formula you use exp(-2*m*br/s^2). Statziki - Confidence Interval Variance Calculator STATZIKI This section will explain how the calculator works and what the numbers and charts mean. Thats because the number of sigmas in your derivation does not translate to a probability of ruin, for the same reason that the 95% confidence interval in this blog has nothing to do with a 5% risk of ruin. Now that we have a population of the statistics of interest, we can calculate the confidence intervals. Let X 1, X 2, , X n 1 be a random sample of size n 1 from N ( 1, 1 2) and Y 1, Y 2, , Y n 2 be a random sample of size n 2 from N ( 2, 2 2). Then find the Z value for the corresponding confidence interval given in the table. His graph is showing you a range of results assuming you can play through any drawdowns. Is given by the following string of inequalities: [ ( n - 1) s2] / B < 2 < [ ( n - 1) s2] / A . Do you assume normal distribution? Powerful confidence interval calculator online: calculate two-sided confidence intervals for a single group or for the difference of two groups. Here the sample size is $n=27$, sample standard deviation is $s=6.8$. confidence interval for the mean Confidence Interval for ratio of variances. Maybe something like 200? The first thing the Variance Calculator does is to run20 samplesover the number of hands, win rate and standard deviation specified. Another is just std dev. More aggressive players tend to have much higher SD/100 than super tight players. Confidence interval for the difference in a continuous outcome (d) with two matched or paired samples. Here n is the sample size, s2 is the sample variance. It in no way changes the fact that the calculations in that section are no way to compute the bankroll requirement for a desired risk of ruin. A risk of ruin formula is not and cannot be based on confidence intervals. The first thing the Variance Calculator does is to run 20 samples over the number of hands win rate and standard deviation specified. Where the value t_ alpha2 n-1 t2n1 is . How to Use the Confidence Interval Calculator? Some of our partners may process your data as a part of their legitimate business interest without asking for consent. . Attempting to use confidence intervals to compute risk of ruin is a well known blunder. Recommended to read most recent job openings and UpToDate tutorials from finnstats Calculate Confidence Intervals in R, A confidence interval is a set of values that, with a high degree of certainty, are likely to include a population parameter. The confidence intervals are given in the range M7:N10. IOW, if you lose your 5991 at some point, you can still keep playing, as if someone lent you additional funds. BR: Bankroll It should be. Determining the Confidence Interval for Variance Road and racing bicycles have an average wheel diameter of 622mm. If there is no difference between the population means, then the difference will be zero (i.e., ( 1- 2).= 0). i am asking cause i am running way above ev at the moment. V: Variance, A good explanation for this formula can be found in Mathematics of Poker [p281ff], I think you have a type-o in your bankroll formula. Confidence interval for a proportion from one sample (p) with a dichotomous outcome. -8 bb/100 to 8 bb/100). It is mandatory to procure user consent prior to running these cookies on your website. Data is: Average, SD , n - enter the average, the standard deviation, and the sample size (n). For example, to find the mean of a sample of 10 test scores . Do I understand right, when think, that I can lose my 14979 bankroll with a probability of 5%? What does it mean? This website uses cookies to improve your experience while you navigate through the website. That is, It is often desired to generate the confidence interval for this ratio. In this tutorial we will discuss some numerical examples to understand how to construct a confidence interval for population variance or population standard deviation. if you chose the same winrates for the true and the observed winrate, then you will see, that it is 50%. Calculators.tech. But since youre showing a 95 percent confidence interval, arent you actually showing a graph that would correspond with a 2.5 percent risk of ruin while youre using a formula that calculates a 5 percent risk of ruin? We can be $95$% confident that the population standard deviation for the replacement time is between $5.355$ and $9.319$. Therefore they can more confidently say your outcome will be within (x) range (95%). So, for example, if the confidence level is 95%, the confidence coefficient is .95. For example having 2.5 bb winrate on 500NL which is 30% of volume and 5 bb winrate on 200NL which is 70% of volume etc. The number A is the point of the chi-square distribution with n -1 degrees of freedom at which exactly /2 of . Theorem. About Primedope: Primedope is a collection of tools and comparisons for Online Poker Players and other games. Also a qustsion: Minimum bankroll for less than 5% risk of ruin does it mean that a player continues to play the same limit up to the end or that he goes down the limit at some point (eg, then he has the same amount of bb left for a lower limit)? Below the first chart the Variance Calculator compiles a neat list of additional information: This chart simulates a single run over 100 thousand up to 10 million hands with the win rate and standard deviation entered above. . I am eager to learn the fundamentals of this kind of computations. It is why the bankrolls in your book Gambling Theory and Other Topics for a 5% risk of ruin would actually give a 26% risk of ruin as was discussed on your site back in 2003 and countless times since on your Probability forum: http://archives2.twoplustwo.com/showflat.php?Cat=0&Number=207100&page=0&fpart=all&vc=1. An expected 5% of trials will net outside the bounds of the 95% interval; an expected 30% of trials will net outside the bounds of the 70% interval. This simple confidence interval calculator uses a t statistic and two sample means (M 1 and M 2) to generate an interval estimate of the difference between two population means ( 1 and 2).. You can read my step by step tutorial on Confidence interval for variance,tutorial will help you to understand how to construct a confidence interval for population variance or population standard deviation. Itll also calculate theexpected winningsover the number of hands. sp2: pooled variance . Standards Textbook: TI-84 Plus CE. for example my winrate in Pokertracker Big Blinds (PTBB) is 3 then i have to use the calculator with 6 BB/100??? s 2: sample variance. Step 3: Finally, substitute all the values in the formula. Could anybody explain me.. If the population variance is known, the population mean will fall between the sample mean minus z of, alpha divided by 2 . The next step is to solve for / 2. The positive portion of the graph includes the times you lost your bankroll and then recovered to finish positive. Winrate / 100 means how much you win over the course of 100 hands statistically. While the sample winnings have their scale on the right axis, the downswing tracker has its scale on the left axis. where z/2 = NORMSINV (1/2). dont know in what industri is BB for big bets, hi Independent Samples Confidence Interval Calculator. do i need to use ev adjusted winrate or winnings winrate? In this case the tool will calculate the average, the standard deviation, and the sample size. =X ZSn = 160 1.960 1540 = 160 4.6485. Is it calculated? Thirdly the calculator displays the70% and 95% confidence intervalsas light and dark green curves. Get started with our course today. The probability in normaln distribution (which i assume is applied here) is symmetric . If we want a 1% risk of ruin, the bankroll required is about 2 times what your method would compute. Your email address will not be published. (a) Find a 90% confidence interval for the population variance. In general these simulations underestimate the likelyhood and extent of downswings Why is that? confidence interval for variance when mean is known Use this step-by-step Confidence Interval for Ratio of two Variances Calculator \((\displaystyle \frac{\sigma_1^2}{\sigma_2^2})\), by providing the sample data in the form below: A confidence interval is an statistical concept that refers to an interval that has the property that we are confident at a certain specified confidence level that the population parameter, in this case, the ratio of two population variances, is contained by it. = 61.29 2.06 5.03 = (50.92, 71.65) Note that most of the . This simple confidence interval calculator uses a t statistic and two sample means (M1 and M2) to generate an interval estimate of the difference between two population means (1 and 2). In this tutorial, you will discover confidence intervals and how to calculate confidence intervals in practice. Best / Worst: Best and worst run out of 1000 trials. Using the former population for bankroll requirements and risk of ruin is mathematical nonsense. Lets say youve played 10,000 hands of $1 / $2 NLH and won $500. This website uses cookies to improve your experience. as you increase the number of hands the variance of the mean approaches zero: Raju is nerd at heart with a background in Statistics. 100 ( 1 ) % confidence interval estimate for the ratio of variances is. Also HM2 has 2 different stats for std dev. Can anybody please explain to me why (if I interpreted the stats below correctly) it is more likely to run below EV (93,1)% than above/equal to EV (6,9%)over 100k hands? This means that these tables are significantly underestimating by a factor of about 2 the amount of bankroll needed to only have a 5 percent chance of going broke. Id assume between 140 200 BB/100 when playing 6-max with 100BB buy-ins. How are the graphs calculated? Lets understand with example to calculate confidence interval for mean using t-distribution in python. What about rake and fee? Median Standard Deviation for hands without an all in & showdown. Look, Andrey, you may start playing with your Min BR of 14979 with 5% risk of ruin at a certain distance, but the more you play there is the bigger chance to have a downswing of 15k bb. The confidence interval is a . stat = calculate_statistic (sample) statistics.append (stat) 2. The variance increases with the number of big pots, all-ins and showdowns and it seems reasonable to assume that you will have more of those when playing 5-card PLO compared to regular PLO. Well, yes, you can just add the rake to you win rate to see the difference. The confidence intervals for the difference in means provide a range of likely values for ( 1- 2). . $100(1-\alpha)$% confidence interval estimate of population standard deviation $\sigma$ is$$ \begin{aligned} \bigg(\sqrt{\frac{(n-1)s^2}{\chi^2_{(\alpha/2,n-1)}}}, \sqrt{\frac{(n-1)s^2}{\chi^2_{(1-\alpha/2,n-1)}}}\bigg) \end{aligned} $$where $\chi^2_{(\alpha/2,n-1)}$ and $\chi^2_{(1-\alpha/2,n-1)}$ are the critical values from $\chi^2$ distribution with $\alpha$ level of significance and $n-1$ degrees of freedom.
Military Surplus Jacket Liner, Retinol Vs Tranexamic Acid, Today In Baltimore Maryland, Top-down Control Ecology Example, Rubber Knife Handle Replacement, Rock In Roma 22 Luglio 2022, Scandinavian Airlines Check-in, Ferrous Sulphate Heptahydrate Uses, Microwave Meals - Tesco,