Thursday, March 19, 2020

Thanking in French - Merci et Les Autres Remerciements

Thanking in French - Merci et Les Autres Remerciements You all know â€Å"merci†. But there are different ways to say thank you in French, as well as different meanings to the word. Merci: The Common Way of Saying Thank You in French â€Å"Merci† is ‘thank you’. Its pronounced â€Å"mair see† with an open ‘ay’ sound not a closed ‘ur’ sound. You can make it stronger by saying â€Å"merci beaucoup† – ‘thank you very much’. Note that the very is included, you cannot say â€Å"merci trà ¨s beaucoup†. To say ‘a thousand thanks’ we say â€Å"mille mercis† or â€Å"merci mille fois†. It’s pretty common in French as it is in English. You usually accompany a vocal â€Å"merci† with a smile, and it implies that you accept whatever is being offered to you. However, if you want to refuse something, you could say â€Å"non merci†, or even just say â€Å"merci† with a hand gesture, showing your palm to the person in front of you in a kind of stop gesture.  You make shake your head â€Å"no† at the same time. You may smile or not, depending on how firm you want the  refusal to be. When you thank someone, they may answer merci toi / vous - in English, youd say thank YOU, with the emphasis on the you, meaning I am the one thanking you. Je Vous/Te Remercie Pour... I Thank You For in French Another way to say ‘thank you’ is to use the verb â€Å"remercier†. â€Å"Remercier†, ‘to thank’ is followed by a direct object (so it will take the pronouns me, te, le, la, nous, vous, les), and then by â€Å"pour† ‘for’, just as it is in English. Je vous/te remercie pour ce dà ©licieux dà ®ner. I thank you for this delicious dinner meal. Note that the verb â€Å"remercier† has a stem in â€Å"i†, so the final sound will often be a vowel, just like the verb â€Å"à ©tudier†. Je vous/te remercie pour les fleurs – I thank you for the flowers.Je voulais vous/te remercier pour votre/ta gentillesse – I wanted to thank you for your kindness. Using â€Å"remercier† is very formal in French, much less common than using â€Å"merci†. Click here for more ways of expressing gratitude in French. Les Remerciements - The Thanks When talking about the thanks, the noun, you’d use the noun â€Å"le/les remerciement(s)†, usually used in the plural. Tu as les remerciements de Susan – you have Susan’s thanks.Je voudrais lui adresser mes remerciements – I would like to send him/her my thanks. No Thanksgiving in France Thanksgiving  is not a French holiday at all, and most French people have never heard of it. They may have seen some Thanksgiving dinner on a sitcom on TV, but probably discarded the info. There is no Black Friday sale in France either.   In Canada, Thanksgiving is called â€Å"l’Action de Grà ¢ce(s)† with or without an S and is celebrated pretty much in the same fashion as in the US, but on the second Monday of October. Thank You  Notes in France Its somewhat less common in France to write une carte de remerciement. I mean, its not uncommon, and its very polite, but its not like in the Anglo-Saxon countries  where Thank You cards are a huge market. If youve been treated to something really special, you can absolutely send a thank you card or a handwritten note, but dont expect your French friend to necessarily reciprocate. Its not rude of them, its just not that deeply rooted in our politeness.

Monday, March 2, 2020

Example of ANOVA Calculation

Example of ANOVA Calculation One factor analysis of variance, also known as ANOVA, gives us a way to make multiple comparisons of several population means. Rather than doing this in a pairwise manner, we can look simultaneously at all of the means under consideration. To perform an ANOVA test, we need to compare two kinds of variation, the variation between the sample means, as well as the variation within each of our samples. We combine all of this variation into a single statistic, called the ​F statistic because it uses the F-distribution. We do this by dividing the variation between samples by the variation within each sample. The way to do this is typically handled by software, however, there is some value in seeing one such calculation worked out. It will be easy to get lost in what follows. Here is the list of steps that we will follow in the example below: Calculate the sample means for each of our samples as well as the mean for all of the sample data.Calculate the sum of squares of error. Here within each sample, we square the deviation of each data value from the sample mean. The sum of all of the squared deviations is the sum of squares of error, abbreviated SSE.Calculate the sum of squares of treatment. We square the deviation of each sample mean from the overall mean. The sum of all of these squared deviations is multiplied by one less than the number of samples we have. This number is the sum of squares of treatment, abbreviated SST.Calculate the degrees of freedom. The overall number of degrees of freedom is one less than the total number of data points in our sample, or n - 1. The number of degrees of freedom of treatment is one less than the number of samples used, or m - 1. The number of degrees of freedom of error is the total number of data points, minus the number of samples, or n - m.Calculate the mean square of error. T his is denoted MSE SSE/(n - m). Calculate the mean square of treatment. This is denoted MST SST/m - 1.Calculate the F statistic. This is the ratio of the two mean squares that we calculated. So F MST/MSE. Software does all of this quite easily, but it is good to know what is happening behind the scenes. In what follows we work out an example of ANOVA following the steps as listed above. Data and Sample Means Suppose we have four independent populations that satisfy the conditions for single factor ANOVA. We wish to test the null hypothesis H0: ÃŽ ¼1 ÃŽ ¼2 ÃŽ ¼3 ÃŽ ¼4. For purposes of this example, we will use a sample of size three from each of the populations being studied. The data from our samples is: Sample from population #1: 12, 9, 12. This has a sample mean of 11.Sample from population #2: 7, 10, 13. This has a sample mean of 10.Sample from population #3: 5, 8, 11. This has a sample mean of 8.Sample from population #4: 5, 8, 8. This has a sample mean of 7. The mean of all of the data is 9. Sum of Squares of Error We now calculate the sum of the squared deviations from each sample mean. This is called the sum of squares of error. For the sample from population #1: (12 – 11)2 (9– 11)2 (12 – 11)2 6For the sample from population #2: (7 – 10)2 (10– 10)2 (13 – 10)2 18For the sample from population #3: (5 – 8)2 (8 – 8)2 (11 – 8)2 18For the sample from population #4: (5 – 7)2 (8 – 7)2 (8 – 7)2 6. We then add all of these sum of squared deviations and obtain 6 18 18 6 48. Sum of Squares of Treatment Now we calculate the sum of squares of treatment. Here we look at the squared deviations of each sample mean from the overall mean, and multiply this number by one less than the number of populations: 3[(11 – 9)2 (10 – 9)2 (8 – 9)2 (7 – 9)2] 3[4 1 1 4] 30. Degrees of Freedom Before proceeding to the next step, we need the degrees of freedom. There are 12 data values and four samples. Thus the number of degrees of freedom of treatment is 4 – 1 3. The number of degrees of freedom of error is 12 – 4 8. Mean Squares We now divide our sum of squares by the appropriate number of degrees of freedom in order to obtain the mean squares. The mean square for treatment is 30 / 3 10.The mean square for error is 48 / 8 6. The F-statistic The final step of this is to divide the mean square for treatment by the mean square for error. This is the F-statistic from the data. Thus for our example F 10/6 5/3 1.667. Tables of values or software can be used to determine how likely it is to obtain a value of the F-statistic as extreme as this value by chance alone.