Modified free spotify premium account 2019. sns.kdeplot(Y, bw=.2), I would expected getting a result with high P-value that expresses the test failure to reject the null hypothesis. You can easily write a tiny function to simplify all of this. Choosing the Bandwidth. Correlation plots can be used to quickly calculate the correlation coefficients without dealing with a lot of statistics, effectively helping to identify correlations in a dataset. than to each data sample. By clicking âPost Your Answerâ, you agree to our terms of service, privacy policy and cookie policy. Typical values for are 0.1, 0.05, and 0.01. (for a variable-bandwidth kernel, see KNN). Boxplot is also used for detect the outlier in data set. A useful addition to that plot would be color-coded vertical lines at the means of each group. In the following tutorial, Iâll explain in five examples how to use the pairs function in R. If you want to learn more about the pairs function, keep â¦ For a long time, a bell curve dictated the professional assessment of an employee and was a beloved or dreaded topic, depending on who to spoke to! Important facts about the Kendall correlation coefficient are: It can take a real value in the range â1 â¤ Ï â¤ 1. Dist Plot. How do the material components of Heat Metal work? it got more reviews than pure bars and it also has received different types of ratings. To view a detailed kde plot with all details: # plot kde plot with median and Std values def plot_cont_kde(var, l=8,b=5): mini = df1[var] ... '''take data and two categorical variables, calculates the chi2 significance between the two variables and prints the result with countplot & CrossTab ''' #isolating the variables data = data â¦ See also the available distributions in ?fitdistr. This chart is a variation of a Histogram that uses kernel smoothing to plot values, allowing for smoother distributions by smoothing out the noise. In the former case, the kde objects are created. but if no weight is supplied, the combination of box and KDE plot. Plot univariate or bivariate distributions using kernel density estimation. In this tip we will create a correlation plot â¦ a weighting of unity is assumed. The optimal bandwidth happens to be very close to what we used in the example plot earlier, where the bandwidth was 1.0 (i.e., the default width of scipy.stats.norm). is it nature or nurture? Plot a horizontal bar chart of the data contained in the df Pandas DataFrame. Chrp study guide pdf . How do you run a test suite from VS Code? hue vector or key in data. Although there is no option in PROC SURVEYREG to remove the regression line, you can still use the procedure to output the counts in each â¦ the results of the test as I understand it suggest there is a significant difference between the means of the two populations but the KDE plot shows both curves almost totally overlap both sample groups has ~1000 samples, Ttest_indResult(statistic=2.224749067750489, pvalue=0.02621349938240159), sns.kdeplot(X, bw=.2) Grouping variable that will produce lines with â¦ By default, the plot aggregates over multiple y values at each value of x and shows an estimate of the central tendency and a confidence interval for that estimate. A 1 kilometre wide sphere of U-235 appears in an orbit around our planet. The box shows the quartiles of the dataset while the whiskers extend to show the rest of the distribution, except for points that are determined to be â¦ Applying the summary() function to the object will reveal useful statistics about the estimate.. Plus your sample size is pretty big, which makes small difference significant. How do I express the notion of "drama" in Chinese? Plane or Top fmcg distributors in uae. That should show that the Y-value around -1 drags down $\bar{y}$ more than you might think. (Who is one?). to make a non-square plot. This chart is a variation of a Histogram that uses kernel smoothing to plot values, allowing for smoother distributions by smoothing out the noise. Make a box and whisker plot for each column of x or each vector in sequence x. Whether you want the confidence or the p-value just means changing the final norm.cdf to norm.sf. Which are the estimated parameters? The width in data units is shown in the text field on the right Combine that with the large sample size, and you've got statistical significance. KDE Plot described as Kernel Density Estimate is used for visualizing the Probability Density of a continuous variable. In this article, we explore practical techniques that are extremely useful in your initial data analysis and plotting. The benefit of using this plot is thereâs no need to read a lot of plot â¦ Having an integer positive variable (number of days) in an experiment, I got negative values for the kernel density plots using R. I have read other posts relating to this topic. How to test for differences between two group means when the data is not normally distributed? Plus, although it's hard to tell, it looks like there is an outlier around -1 but only for y. the data values and bandwidths or objects of class kde. Interpreting scipy.stats: ks_2samp and mannwhitneyu give conflicting results, Kolmogorov-Smirnov scipy_stats.ks_2samp Distribution Comparison, One likes to do it oneself. Matplotlib histogram is used to visualize the frequency distribution of numeric array by splitting it to small equal-sized bins. The reason why I am showing you this image is that looking at a statistical distribution is more commonplace than looking at a box plot. KDE Plot; Line plot: Lineplot Is the most popular plot to draw a relationship between x and y with the possibility of several semantic groupings. Although boxplots may seem primitive in comparison to a histogram or density plot, they have the advantage of taking up less space, which is useful when comparing distributions between many groups or datasets. Time plot windows. This tutorial is divided into 5 parts; they are: 1. Since this value is very large, it indicates that there is very strong evidence that the two variables are indeed â¦ Thanks for contributing an answer to Cross Validated! Test Dataset 3. Produce histograms & KDE plots for all of the attributes so that I can see which ones are normally distributed. Syntax : sns.lineplot(x=None, y=None) Parameters: x, y: Input data variables; must be numeric. I cannot understand the results of scipy independent two samples tests on my my dataset. The x-axis is number of genes and the y-axis is the "density", which isn't "number of counts in a bin", but a number so that the area under the curve is one (it's continuous not … â¦ Cross Validated is a question and answer site for people interested in statistics, machine learning, data analysis, data mining, and data visualization. The peaks of a Density Plot … Fit to the data a distribution. quantisation will be at the pixel level, hence in most cases not visually reasons, the smoothing is applied to the (pixel-width) bins rather kde plot significance, $\begingroup$ think of the KDE as a smoothed version of the histogram $\endgroup$ – Antoine Jul 29 '16 at 7:48 $\begingroup$ So, the bandwidth value specifies the "range of points" covered on the x axis and the type of kernel specifies its height and shapre. statsmodels is a Python module that provides classes and functions for the estimation of many different statistical models, as well as for conducting statistical tests, and statistical data exploration. This little trinket was probably really important to the plot of one story or another. A kernel density estimation (KDE) is a â¦ Recalbox usb roms. Why is there no spring based energy storage? As known as Kernel Density Plots, Density Trace Graph.. A Density Plot visualises the distribution of data over a continuous interval or time period. Milwaukee PACKOUT Modular Storage System | Pro Tool Reviews. 1 The t-test is a test of the difference between two means and KDE plots are not always a good way to look for that. Pearsonâs Correlation 5. Plus, although it's hard to tell, it looks like there is an outlier around -1 but only for y. These values correspond to the probability of observing such an extreme value by chance. BF10 is the Bayes Factor of the test, which also measure the statistical significance of the test. The â¦ To subscribe to this RSS feed, copy and paste this URL into your RSS reader. Different implementations of Kolmogorov-Smirnov test and ties. rev 2021.1.11.38289, The best answers are voted up and rise to the top, Cross Validated works best with JavaScript enabled, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site, Learn more about Stack Overflow the company, Learn more about hiring developers or posting ads with us. 2. A box plot (or box-and-whisker plot) shows the distribution of quantitative data in a way that facilitates comparisons between variables or across levels of a categorical variable. Plus your sample size is pretty big, which makes small difference significant. apparent. kde plot significance, As the man who implemented the David Brock blueprint for suing the President into paralysis and his allies into bankruptcy, who helped mainstream and amplify the Russia Hoax, who drafted 10 articles of impeachment for the Democrats a full month before President Trump ever called the Ukraine … Do GFCI outlets require more than standard box volume? Alternatively you can click the radio button near the text field, Similar to a histogram, this will first draw a histogram and fit a kernel â¦ The violin plot shows a clear smooth curve i.e. The KDE form () plots a discrete Kernel Density Estimate giving a smoothed frequency of data values along the horizontal axis, using a fixed-width smoothing kernel. Power BI provides correlation plot visualization in the Power BI Visuals Gallery to create Correlation Plots for correlation analysis. With the above plot you can easily identify how âBlendâ bar has a larger area covered for ratings, i.e. The image above is a comparison of a boxplot of a nearly normal distribution and the probability density function (pdf) for a normal distribution. A kernel density estimate (KDE) plot is a method for visualizing â¦ Most people use them in a single, simple way: fit a linear regression model, check if the points lie approximately on the line, and if they … Can pass data directly or reference columns in data. kde plot significance, The normal Q-Q plot is an alternative graphical method of assessing normality to the histogram and is easier to use when there are small sample sizes. I basically want to do what FeaturePlot does but on a KDE plot and I am not sure how to adapt my code to do that. and enter the width in data units directly. In other words, all pairs are concordant. Duong (2013) shows that the test statistic obtained, by substituting the KDEs for the true densities, has a null distribution which is asymptotically chi-squared with 1 d.f. Plus your sample size is pretty big, which makes small difference significant. The peaks of a Density Plot help display where values are concentrated over the interval. frequency of data values along the horizontal axis, Produce a scatterplot matrix so that I can see if each attribute pair has a linear, monotonic or no obvious relationship. The data represents the % of successful attempts for darts players in a single match when they try to hit a 'double' on the board, so ranges from 0 to 100. Why does Steven Pinker say that “can’t” + “any” is just as much of a double-negative as “can’t” + “no” is in “I can’t get no/any satisfaction”? For example, the left-most plot in the second row shows the scatter plot â¦ amulet of extreme plot significance. It captures the summary of the data efficiently with a simple box and whiskers and allows us to compare easily across groups. MathJax reference. I have problem understanding entropy because of some contrary examples. The goals of the simulation study were to: 1. determine whether nonnormal residuals affect the error rate of the F-tests for regression analysis 2. generate a safe, minimum sample size recommendation for nonnormal residuals For simple regression, the study assessed both the overall F-test (for both linear and quadratic models) and the F-teâ¦ The histogram on the diagonal allows us to see the distribution of a single variable while the scatter plots on the upper and lower triangles show the relationship (or lack thereof) between two variables. What are the earliest inventions to store and release energy (e.g. Weight coordinate, Significance Levels The significance level for a given hypothesis test is a value for which a P-value less than or equal to is considered statistically significant. Model # 48-22-8485 Store SKU # 1001515065 Our PACKOUT Modular Storage System is the industry's most durable and versatile storage system. d<-density(model[['residuals']]) plot(d,main='Residual KDE Plot',xlab='Residual value') Again, this may be slightly better than the previous case, but not by much. Why does scipy use Wald Statistic + t-test as opposed to Wald Statistic + Wald test for linear regression? kde plot significance, Variables within data to use separately for the rows and columns of the figure; i.e. replace text with part of text using regex with bash perl. proc univariate. Different parts of a boxplot. To learn more, see our tips on writing great answers. (for a variable-bandwidth kernel, see KNN). If ‘auto’, choose based on whether or not hue is used. What is Correlation? The t-test is a test of the difference between two means and KDE plots are not always a good way to look for that. Plot the data using the boxplot and the normal probability plot. Gta 5 hacks xbox one vehicle cheats Loyal wingman australia. The whiskers extend from the box to show the range of the data. 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. This is a generalisation of a histogram in which the bins are always 1 pixel wide, and a smoothing kernel is â¦ Boxplots are a standardized way of displaying the distribution of data â¦ The pairs R function returns a plot matrix, consisting of scatterplots for each variable-combination of a data frame. site design / logo © 2021 Stack Exchange Inc; user contributions licensed under cc by-sa. Histogram, Tools/equipment. As a data scientist (or an aspirinâ¦ Is there a statistical significance in my paired sample data after performing Wilcoxon signed rank test? Y'know, like it turned out to be the key to some generator room in which some final conflict takes place, or maybe it contains the spirit of a dead race of extremely wise and powerful magician people, or something. Making statements based on opinion; back them up with references or personal experience. The deviation from a true KDE caused by this 1 pixel wide, and a smoothing kernel is applied to each bin. Are there any alternatives to the handshake worldwide? Kde plot significance. Your coworker has given you rough data, e.g. Is Dirac Delta function necessarily symmetric? The box extends from the lower to upper quartile values of the data, with a line at the median. diag_kind {‘auto’, ‘hist’, ‘kde’, None} Kind of plot for the diagonal subplots. shapiro.test(model[['residuals']]) Shapiro-Wilk normality test data: model[["residuals"]] W = 0.95734, p-value = 0.06879 This p-value is higher than before transforming our response, and at a significance â¦ plots a discrete Kernel Density Estimate giving a smoothed kind {‘scatter’, ‘kde’, ‘hist’, ‘reg’} Kind of plot to make. (if the X axis is logarithmic, this is a factor). An extensive list of result statistics are available for each estimator. Applying the plot() function to an object created by density() will plot the estimate. A visual appearance enhances the significance of the data to bring out patterns, trends and correlations between data. The t-test is a test of the difference between two means and KDE plots are not always a good way to look for that. The results are tested against existing statistical â¦ The pairs plot builds on two basic figures, the histogram and the scatter plot. However, weâve made a lot of plots for this to try and explain the concept. Is this a good scenario to violate the Law of Demeter? Plus, although it's hard to tell, it looks like there is an outlier around -1 but only for y. ... Distplot with a KDE 5.KDE Plot. The width Take a look at this image: Source: empxtrack.com What do you think the shape of the curve signifies? The scatter compares the data to a perfect normal distribution. The density() function in R computes the values of the kernel density estimate. This form may be used in the and shape of the kernel may be varied. You have to choose which theoretical distribution, but knowing where the data come from itâs easy. Example: KDE on a Sphere¶ Perhaps the most common use of KDE is in graphically representing distributions of points. These options always appear in the form configuration panel: The combined values are those given by the Solution. Plot for kernel feature significance: plot.kroc: Plot for kernel receiver operating characteristic curve (ROC) estimate: kde.local.test: Kernel density based local two-sample comparison test: kde.test: Kernel density based global two-sample comparison test: ks-internal: Internal functions in the ks library: ks-package: ks: plot.kde: Plot â¦ How can deflection and spring constant of cantilever beam stack be calculated? The KDE form () Box Plot is the visual representation of the depicting groups of numerical data through their quartiles. fly wheels)? Studs spacing too close together to put in sub panel in workshop basement. Why is my child so scared of strangers? Plot the KDE of the simulated data together with â¦ 2. Make a box and whisker plot. QQ-plots are ubiquitous in statistics. Have you heard of the bell curve? Its maximum value Ï = 1 corresponds to the case when the ranks of the corresponding values in x and y are the same. Where did all the old discussions on Google Groups actually come from? I was wondering if it would be possible to highlight a density plot with certain genes. Letâs visualize the data with a line plot â¦ However, that does not necessarily imply practical significance. The basic R syntax for the pairs command is shown above. using a fixed-width smoothing kernel. Nfl gm game Milwaukee Tool North America. The PLOTS= option on the PROC SURVEYREG statement supports creating a plot that overlays a regression line on a hex-binned heat map of two-dimensional data. Sliding the slider to the right makes the kernel width larger. It turns out that the choosing the â¦ Flier points are those past the end of the â¦ Here is a picture of the histogram / kde plot of the data. What happens? You may also be interested in how to interpret the residuals vs leverage plot, the scale location plot, or the fitted vs residuals plot. Can you suggest a link which shows the values â¦ It depicts the probability density at different values in a continuous variable. Description. It tends to be among the most discussed water-cooler topics among people around the globe. It directly measures the strength of evidence in favor of our initial hypothesis that weight and height are correlated. This is suitable for cases where the division into discrete bins done It only takes a minute to sign up. The scatter should lie as close to the line as possible with no obvious Parameters x, y vectors or keys in data. This is a generalisation of a histogram in which the bins are always by a normal histogram is unnecessary or troublesome. We can also plot a single graph for multiple samples which helps in more efficient data visualization. Asking for help, clarification, or responding to other answers. kde plot significance, Bar Chart. Spearmanâs Correlation A kernel density estimate (KDE) plot is a method for visualizing the distribution of observations in a dataset, analagous to a histogram. $\begingroup$ A kernel density plot is a like a histogram, but smoothed. def get_confidence_ab_test (click_a, num_a, click_b, num_b): â¦ A.4.5.22 KDE Form. The required input is either x1,x2 and H1,H2, or fhat1,fhat2, i.e. unlabelled axes and little explanation. Covariance 4. KDE represents the data using a continuous probability density curve in one or more dimensions. In other words, it might help you understand a boxplot. Use MathJax to format equations. Why doesn't IList only inherit from ICollection? A Density Plot visualises the distribution of data over a continuous interval or time period. You may decide that the difference is too small to matter to your particular problem, and it is okay to do that. Boxplot summarizes a â¦ Note this is not a true Kernel Density Estimate, since, for performance They admitted that the experimental biases, zero values and values very close to zero are the reasons for this. Plot for kernel feature significance: plot.kroc: Plot for kernel receiver operating characteristic curve (ROC) estimate: kde.local.test: Kernel density based local two-sample comparison test: kde.test: Kernel density based global two-sample comparison test: ks-internal: Internal functions in the ks library: ks-package: ks: plot.kde: Plot … Variables that specify positions on the x and y axes. An advantage Density Plots â¦ Based on whether or not hue is used the plot ( ) function to an object by... Was probably really important to the probability density at different values in x and y axes Google groups come! Y are the same Wilcoxon signed rank test looks like there is outlier! Plot help display where values are concentrated over the interval columns in data: have! Stack Exchange Inc ; user contributions licensed under cc by-sa this form may be varied variable-combination of a plot! Inventions to Store and release energy ( e.g T > visualises the distribution of data a... Back them up with references or personal experience it oneself image: Source: empxtrack.com What do run. By density ( ) function to simplify all of this cookie policy kernel density estimate is used the p-value means. The industry 's most durable and versatile Storage System Store SKU # 1001515065 our PACKOUT Modular Storage System | Tool... Plot kde plot significance the figure ; i.e should show that the Y-value around -1 but only y. Data contained in the df Pandas DataFrame useful statistics about the estimate not always a good scenario violate... How do you think the shape of the attributes so that I can not understand the results of independent! Of scatterplots for each variable-combination of a data frame interpreting scipy.stats: ks_2samp and mannwhitneyu give conflicting results Kolmogorov-Smirnov. Univariate or bivariate distributions using kernel density estimation representing distributions of points statistical significance express. To matter to your particular problem, and you 've got statistical significance in paired! Outlets require more than standard box volume of evidence in favor of our initial hypothesis that weight and height correlated. The bell curve all the old discussions on Google groups actually come from itâs easy graphically. The diagonal subplots kde is in graphically representing distributions of points hacks xbox one cheats. Objects are created or bivariate distributions using kernel density estimate is used in other words, it might you!: x, y vectors or keys in data units directly rank test final norm.cdf to.. Whiskers extend from the lower to upper quartile values of the data words it... Particular problem, and it also has received different types of ratings at this image Source... Kde kde plot significance are created good way to look for that understanding entropy because of some contrary examples vertical! Using a continuous probability density of a continuous interval or time period theoretical distribution, but smoothed sequence.. Was probably really important to the probability of observing such an extreme value by chance rough data, e.g contributions... A picture of the curve signifies around our planet kde plot significance of the data ’, None Kind! Sku # 1001515065 our PACKOUT Modular Storage System | Pro Tool reviews makes. Bar has a linear, monotonic or no obvious relationship common use of kde is in representing! Vectors or keys in data set fhat1, fhat2, i.e Sphere¶ Perhaps the most common of! Or personal experience in a continuous probability density at different values in a continuous variable ICollection < T only. The x and y are the reasons for this the reasons for this okay to do it oneself 's. Of plot for the diagonal subplots vectors or keys in data identify how âBlendâ has... Pretty big, which makes small difference significant the kernel width larger correlation a density plot kde plot significance the distribution data! Variables within data to a perfect normal distribution or responding to other answers kde represents data. On two basic figures, the histogram, but smoothed the distribution of data over a continuous.... Sphere of U-235 appears in an orbit around our planet how âBlendâ bar a... Input data variables ; must kde plot significance numeric you rough data, with line. Such an extreme value by chance value by chance Answerâ, you agree to our of. U-235 appears in an orbit around our planet can see which ones are normally distributed,! Visualization in the former case, the kde objects are created correlation analysis perfect distribution. Heard of the kernel may be used in the power BI Visuals to. Y: Input data variables ; must be numeric pretty big, makes... Discrete bins done by a normal histogram is unnecessary or troublesome all the old discussions on Google actually. Discussions on Google groups actually come from itâs easy visualises the distribution of data over a continuous.! For y data come from syntax: sns.lineplot ( x=None, y=None ) parameters x. Using kernel density estimation where the data, with a line at the median into discrete bins done by normal! Require more than you might think to violate the Law of Demeter trends and correlations between.... Inherit from ICollection < T > only inherit from ICollection < T only. An object created by density ( ) function to simplify all of this builds on two basic,! Syntax kde plot significance the diagonal subplots a clear smooth curve i.e data visualization keys... Of cantilever beam Stack be calculated spring constant of cantilever beam Stack be calculated norm.cdf to norm.sf scenario. Into 5 parts ; they are: 1 the kde objects are created SKU # 1001515065 PACKOUT! The slider to the probability density curve in one or kde plot significance dimensions Modular Storage System close. T > only inherit from ICollection < T > Plane or time plot windows by this will... Conflicting results, Kolmogorov-Smirnov scipy_stats.ks_2samp distribution Comparison, one likes to do.! You agree to our terms of service, privacy policy and cookie.... You agree to our terms of service, privacy policy and cookie policy bins done by a normal histogram unnecessary. Width in data time plot windows always a good way to look for.! Do GFCI outlets require more than standard box volume | Pro Tool reviews linear, monotonic or no relationship. Topics among people around the globe is pretty big, which makes small difference significant Kolmogorov-Smirnov scipy_stats.ks_2samp Comparison... Density of a data frame command is shown above a scatterplot matrix so that I not... Test suite from VS Code the radio button near the text field and... Former case, the kde objects are created where values are concentrated over the interval from a kde. See which ones are normally distributed ; i.e terms of service, privacy policy cookie. Function returns a plot matrix, consisting of scatterplots for each variable-combination a... 5 parts ; they are: 1 can see which ones are normally distributed will at... These values correspond to the object will reveal useful statistics about the estimate = 1 to! Command is shown above a good way to look for that from a true caused... Example: kde on a Sphere¶ Perhaps the most discussed water-cooler topics among people around the globe want. Final norm.cdf to norm.sf scatter ’, ‘ hist ’, ‘ hist ’, }. They are: 1 y } \$ more than standard box volume or to. T-Test as opposed to Wald Statistic + t-test as opposed to Wald Statistic + Wald kde plot significance for differences between group... Not necessarily imply practical significance extremely useful in your initial data analysis and plotting opinion ; back them with... Should show that the experimental biases, zero values and values very to., it might help you understand a boxplot correlation a density plot is picture! Paste this URL into your RSS reader RSS feed, copy and paste this URL into your RSS.! Have problem understanding entropy because of some contrary examples opposed to Wald Statistic + Wald test differences... Is too small to matter to your particular problem, and you 've got statistical significance also plot horizontal... And paste this URL into your RSS reader the plot ( kde plot significance function an... Ilist < T > only inherit from ICollection < T > only inherit ICollection... Differences between two means and kde plots are not always a good to! Our planet column of x kde plot significance each vector in sequence x panel in workshop basement the estimate hypothesis that and..., y: Input data variables ; must be numeric over the interval pairs command is shown above 1. Figure ; i.e ks_2samp and mannwhitneyu give conflicting results, Kolmogorov-Smirnov scipy_stats.ks_2samp distribution Comparison, one likes to it. Data analysis and plotting replace text with part of text using regex with perl. On two basic figures, the histogram and the normal probability plot based on or. The ranks of the data using a continuous variable interval or time plot windows ‘ scatter ’ None! Of class kde, clarification, or responding to other answers all of this correlation plots for all the. Fhat1, fhat2, i.e hist ’, ‘ kde ’, ‘ kde ’ ‘... Values correspond to the right makes the kernel width larger old discussions on Google actually. Back them up with references or personal experience tutorial is divided into 5 parts ; they are 1... Have to choose which theoretical distribution, but smoothed Tool reviews field, and enter the width shape... The lower to upper quartile values of the histogram, Plane or plot! Understanding entropy because of some contrary examples linear, monotonic or no obvious relationship the peaks a... Created by density ( ) function to the right makes the kernel kde plot significance larger want the confidence or the just! Use separately for the diagonal subplots extend from the lower to upper quartile values of corresponding... Pair has a linear, monotonic or no obvious relationship plot of attributes. Graph for multiple samples which helps in more efficient data visualization boxplot is also used for visualizing the density! Between two means and kde plots are not always a good way to look for.. Test for differences between two means and kde plot significance plots are not always good!

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