C1 Expression بسیار رسمی 8 دقیقه مطالعه

Statistical tests included

Research methodology and reporting expression

در ۱۵ ثانیه

  • Used to introduce specific data analysis methods.
  • Signals academic rigor and professional transparency.
  • Commonly found in research papers and business reports.
  • Followed by a list of mathematical tests used.

معنی

این عبارت روش‌های ریاضی مورد استفاده برای تجزیه و تحلیل داده‌ها در یک مطالعه را معرفی می‌کند و نشان می‌دهد که نتایج صرفاً بر اساس شانس نیستند. این عبارت حس شفافیت و دقت آکادمیک را منتقل می‌کند.

مثال‌های کلیدی

3 از 10
1

Writing a university thesis

To analyze the survey results, the statistical tests included a chi-square analysis and a t-test.

To analyze the survey results, the statistical tests included a chi-square analysis and a t-test.

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2

Presenting a business report on Zoom

Our statistical tests included a regression model to predict next quarter's sales trends.

Our statistical tests included a regression model to predict next quarter's sales trends.

<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M21 13.255A23.931 23.931 0 0112 15c-3.183 0-6.22-.62-9-1.745M16 6V4a2 2 0 00-2-2h-4a2 2 0 00-2 2v2m4 6h.01M5 20h14a2 2 0 002-2V8a2 2 0 00-2-2H5a2 2 0 00-2 2v10a2 2 0 002 2z"/></svg>
3

Technical blog post about AI

The evaluation of the model's accuracy was rigorous; statistical tests included p-value calculations for all metrics.

The evaluation of the model's accuracy was rigorous; statistical tests included p-value calculations for all metrics.

<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M21 13.255A23.931 23.931 0 0112 15c-3.183 0-6.22-.62-9-1.745M16 6V4a2 2 0 00-2-2h-4a2 2 0 00-2 2v2m4 6h.01M5 20h14a2 2 0 002-2V8a2 2 0 00-2-2H5a2 2 0 00-2 2v10a2 2 0 002 2z"/></svg>
🌍

زمینه فرهنگی

There is a 'reproducibility crisis' currently being discussed. This makes the phrase 'statistical tests included' more important than ever, as researchers are being asked for more transparency. Data is king. Using this phrase in a startup pitch signals that you are a 'serious' founder who isn't just following a trend. Precision (Präzision) is a core cultural value. In German business culture, providing the math is not seen as 'extra' work; it is the expected standard. While data is important, 'Nemawashi' (consensus building) is also key. You might use statistical tests to support a consensus that has already been reached.

🎯

Use it in your CV

Instead of saying 'I analyzed data,' say 'I produced reports with rigorous statistical tests included.' It sounds much more professional.

⚠️

Don't over-use it

If you use this phrase for every small thing, you will sound like you are trying too hard to be smart. Save it for the big conclusions.

در ۱۵ ثانیه

  • Used to introduce specific data analysis methods.
  • Signals academic rigor and professional transparency.
  • Commonly found in research papers and business reports.
  • Followed by a list of mathematical tests used.

What It Means

Ever wondered why some news headlines sound so certain about a new 'superfood' while others just say 'it might work'? The difference usually comes down to the phrase statistical tests included. When you see this, you are looking at the 'receipts' of a research project. It means the researchers didn't just look at a few numbers and follow their gut. Instead, they ran their data through strict mathematical filters. These filters help determine if a result is a real discovery or just a lucky coincidence. It carries a heavy weight of authority. It tells the reader that the conclusions are backed by the laws of probability. In the world of science and business, this phrase is a shield against skepticism. It’s the difference between saying 'I think people like our app' and 'Our data shows a 20% increase in engagement with a p-value of 0.05.' One is an opinion; the other is a verified fact.

How To Use It

You will mostly find this phrase at the beginning of a list or as a summary in a 'Methods' section. It acts like a gateway. You say statistical tests included and then you list the heavy hitters like t-tests, ANOVA, or regression analysis. Think of it as introducing your team before a big game. You can use it in a full sentence: "The statistical tests included a variety of non-parametric measures." Or, you can use it as a subheading in a technical report or a slide in a PowerPoint presentation. It’s a very functional phrase. It doesn't need fancy adjectives around it because the word statistical already does the heavy lifting. Just remember to keep it plural unless you truly only used one single test—which is rare in serious research!

Formality & Register

This is a high-level, formal expression. You are definitely in the C1 or C2 territory here. You won't hear someone say this while ordering a latte or chatting about their weekend. It belongs in the world of ivory towers, corporate boardrooms, and deep-dive tech blogs. If you use this in a casual text to a friend, they might think you’ve accidentally sent them your thesis notes! However, in a professional email or a university essay, it is exactly what people expect to see. It shows you know the 'language of evidence.' It’s the verbal equivalent of wearing a lab coat or a sharp suit. Even in modern tech companies, where things are often 'informal,' this phrase remains a pillar of professional communication. It provides a structured way to talk about complex math without sounding like a robot, though it's definitely on the serious side of the spectrum.

Real-Life Examples

Imagine you are reading a report on a new fitness app. The report says, "To ensure the results were not due to chance, the statistical tests included a Pearson correlation and a series of chi-square tests." This sounds much more impressive than saying "we did some math," right? Another scenario is a job interview for a Data Analyst role. You might say, "In my last project, the statistical tests included multiple regression to account for different variables." This immediately tells the interviewer that you understand the mechanics of data. You might even see it in a high-end skincare advertisement. Sometimes they want to sound 'scientific' to sell more cream, so they might include a tiny footnote saying, "Statistical tests included for all clinical trials." It’s everywhere once you start looking for it—from Spotify’s year-end 'Wrapped' data explanations to the latest climate change studies on your favorite news site.

When To Use It

Use this phrase whenever you need to prove your point with data in a formal setting. If you are writing a Master’s thesis or a PhD dissertation, this phrase will be your best friend in the methodology chapter. It’s also perfect for business white papers where you are trying to convince investors that your market research is bulletproof. If you are a developer writing a 'readme' file for a data processing library, this phrase helps other developers trust your code. Essentially, use it when the stakes are high and the truth matters. It’s the perfect lead-in for a deep dive into numbers. It tells your audience, "Okay, get ready, we’re about to look at the hard evidence." It's like the 'Fasten your seatbelts' sign on a plane—it signals that something important is happening.

When NOT To Use It

Please, for the love of all things social, don't use this during a date! If your partner asks why you like a certain restaurant, saying "My statistical tests included a review of the menu prices and Yelp ratings" will probably ensure there isn't a second date. It’s also too heavy for casual blog posts or social media captions unless you are being intentionally funny or 'nerdy.' If you are writing a simple 'how-to' guide for a hobby, like gardening or knitting, it’s probably overkill. Also, avoid using it if you didn't actually do any statistics. If you just calculated a simple average (the mean), saying statistical tests included is a bit like saying you 'performed surgery' when you just put on a band-aid. It promises a level of complexity that you need to be able to back up.

Common Mistakes

A very common error is mixing up the adjective and the noun. People often say ✗ Statistics tests included when they should say ✓ Statistical tests included. The word statistical describes the *type* of tests. Another big one is the tense. If you are describing a study you have already finished, use the past tense: ✓ included. If you are describing a plan for a future study, you might say "The statistical tests will include..." Don't forget the plural 's' on tests. Unless you are a mathematical minimalist, you likely used more than one method. Another subtle mistake is saying ✗ Statistical tests including. This sounds like an incomplete thought. You need that 'ed' at the end to show that the list is defined and completed. It’s a small detail, but in the world of academic writing, those small details are what get you the high grades!

Common Variations

If you want to spice things up so you don't repeat the same phrase ten times, you have options. You could say, "The analysis utilized several statistical methods, such as..." or "Data were analyzed using various tests, including..." In a more modern, tech-focused environment, you might hear "We applied a suite of statistical tests to the dataset." If you want to be even more formal, try "The methodology incorporated rigorous statistical testing." In the UK, you might see "Statistical tests were carried out, including..." while in the US, included is the more direct, standard choice. If you are writing for a very high-level journal, you might get even more specific: "Inferential statistical tests included..." This tells the reader you aren't just describing the data, you are making predictions based on it.

Real Conversations

S

Student

I've finished the draft of my results section, but it feels a bit thin.
P

Professor

Did you specify exactly how you verified the correlations?
S

Student

Not really, I just said I used a computer program.
P

Professor

You should be more specific. Mention that the statistical tests included a Spearman's rank correlation. It adds much more weight.
M

Manager

This marketing report looks good, but can we trust these 'customer growth' numbers?
A

Analyst

Absolutely. The statistical tests included a significance check to make sure the growth wasn't just a seasonal fluke.
M

Manager

Perfect. That’s exactly what the CEO will ask about. Put that on the first slide.

Quick FAQ

Is this phrase only for scientists? Not at all! Anyone working with data—marketers, economists, UI/UX designers, and even sports analysts—uses this to show their work is valid. Does it always have to be at the start of a sentence? No, it often appears in the middle of a paragraph to transition from a general description to technical details. Can I use it in a presentation? Yes, it's a great 'anchor' phrase for a slide title. Does 'included' mean the list is finished? Usually, yes. It implies that these are the main tests that define the study's results. If there were others that weren't important, you might say "Primary statistical tests included..." instead. It’s all about being as clear and honest as possible with your audience.

نکات کاربردی

Use this phrase at the start of your 'Methods' or 'Results' section. It's strictly formal, so save it for papers, reports, and professional presentations. Avoid using the noun 'statistics' as an adjective here—'statistical' is the only correct form.

🎯

Use it in your CV

Instead of saying 'I analyzed data,' say 'I produced reports with rigorous statistical tests included.' It sounds much more professional.

⚠️

Don't over-use it

If you use this phrase for every small thing, you will sound like you are trying too hard to be smart. Save it for the big conclusions.

مثال‌ها

10
#1 Writing a university thesis
<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M21 13.255A23.931 23.931 0 0112 15c-3.183 0-6.22-.62-9-1.745M16 6V4a2 2 0 00-2-2h-4a2 2 0 00-2 2v2m4 6h.01M5 20h14a2 2 0 002-2V8a2 2 0 00-2-2H5a2 2 0 00-2 2v10a2 2 0 002 2z"/></svg>

To analyze the survey results, the statistical tests included a chi-square analysis and a t-test.

To analyze the survey results, the statistical tests included a chi-square analysis and a t-test.

A standard way to introduce methodology in academic writing.

#2 Presenting a business report on Zoom
<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M21 13.255A23.931 23.931 0 0112 15c-3.183 0-6.22-.62-9-1.745M16 6V4a2 2 0 00-2-2h-4a2 2 0 00-2 2v2m4 6h.01M5 20h14a2 2 0 002-2V8a2 2 0 00-2-2H5a2 2 0 00-2 2v10a2 2 0 002 2z"/></svg>

Our statistical tests included a regression model to predict next quarter's sales trends.

Our statistical tests included a regression model to predict next quarter's sales trends.

Shows the boss that the predictions are based on math, not just guesses.

#3 Technical blog post about AI
<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M21 13.255A23.931 23.931 0 0112 15c-3.183 0-6.22-.62-9-1.745M16 6V4a2 2 0 00-2-2h-4a2 2 0 00-2 2v2m4 6h.01M5 20h14a2 2 0 002-2V8a2 2 0 00-2-2H5a2 2 0 00-2 2v10a2 2 0 002 2z"/></svg>

The evaluation of the model's accuracy was rigorous; statistical tests included p-value calculations for all metrics.

The evaluation of the model's accuracy was rigorous; statistical tests included p-value calculations for all metrics.

Adds credibility to tech claims.

#4 Reading a medical journal article
<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M21 13.255A23.931 23.931 0 0112 15c-3.183 0-6.22-.62-9-1.745M16 6V4a2 2 0 00-2-2h-4a2 2 0 00-2 2v2m4 6h.01M5 20h14a2 2 0 002-2V8a2 2 0 00-2-2H5a2 2 0 00-2 2v10a2 2 0 002 2z"/></svg>

In this clinical trial, the statistical tests included an ANOVA to compare the three treatment groups.

In this clinical trial, the statistical tests included an ANOVA to compare the three treatment groups.

Very common in healthcare and pharmaceutical reporting.

#5 Instagram caption for a 'Data Nerd' account
<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M14.828 14.828a4 4 0 01-5.656 0M9 10h.01M15 10h.01M21 12a9 9 0 11-18 0 9 9 0 0118 0z"/></svg>

My weekend statistical tests included calculating the correlation between coffee intake and my productivity! ☕️📈

My weekend statistical tests included calculating the correlation between coffee intake and my productivity!

A humorous, lighthearted use of a formal phrase.

#6 Explaining research to a colleague
<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M14.828 14.828a4 4 0 01-5.656 0M9 10h.01M15 10h.01M21 12a9 9 0 11-18 0 9 9 0 0118 0z"/></svg>

I wanted to be sure about the findings, so my statistical tests included a sensitivity analysis.

I wanted to be sure about the findings, so my statistical tests included a sensitivity analysis.

Used to express a desire for high-quality results.

#7 Abstract of a scientific paper
<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M21 13.255A23.931 23.931 0 0112 15c-3.183 0-6.22-.62-9-1.745M16 6V4a2 2 0 00-2-2h-4a2 2 0 00-2 2v2m4 6h.01M5 20h14a2 2 0 002-2V8a2 2 0 00-2-2H5a2 2 0 00-2 2v10a2 2 0 002 2z"/></svg>

Primary statistical tests included multivariate analysis of variance.

Primary statistical tests included multivariate analysis of variance.

Short and punchy for a summary section.

A student making a common error اشتباه رایج
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✗ The statistics tests including a t-test. → ✓ The statistical tests included a t-test.

✗ The statistics tests including a t-test. → ✓ The statistical tests included a t-test.

Correction of the adjective form and the verb ending.

Misusing the phrase in a casual setting اشتباه رایج
<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M14.828 14.828a4 4 0 01-5.656 0M9 10h.01M15 10h.01M21 12a9 9 0 11-18 0 9 9 0 0118 0z"/></svg>

✗ My statistical tests included asking my mom what she thinks about my new shoes. → ✓ I just asked my mom her opinion on my shoes.

✗ My statistical tests included asking my mom... → ✓ I just asked my mom...

Asking one person isn't a 'statistical test'—don't use the phrase for opinions!

#10 Answering a question in a Q&A session
<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M21 13.255A23.931 23.931 0 0112 15c-3.183 0-6.22-.62-9-1.745M16 6V4a2 2 0 00-2-2h-4a2 2 0 00-2 2v2m4 6h.01M5 20h14a2 2 0 002-2V8a2 2 0 00-2-2H5a2 2 0 00-2 2v10a2 2 0 002 2z"/></svg>

Yes, as mentioned in the paper, the statistical tests included a post-hoc analysis.

Yes, as mentioned in the paper, the statistical tests included a post-hoc analysis.

Confirms details already provided in a document.

خودت رو بسنج

Complete the sentence with the correct form of the phrase.

The research paper was rejected because there were no ________.

✓ درسته! ✗ نه دقیقاً. پاسخ صحیح: statistical tests included

The past participle 'included' is required to describe the state of the paper.

Which sentence uses the phrase in the most appropriate register?

Choose the best option:

✓ درسته! ✗ نه دقیقاً. پاسخ صحیح: The clinical trial results, with all statistical tests included, show the drug is safe.

This phrase is best suited for formal, evidence-based contexts like clinical trials.

Match the context with the reason for using 'statistical tests included'.

Contexts and Reasons:

✓ درسته! ✗ نه دقیقاً. پاسخ صحیح: Academic Paper - To prove significance

In academia, the primary goal is proving statistical significance.

🎉 امتیاز: /3

ابزارهای بصری یادگیری

Where to use 'Statistical Tests Included'

🎓

Academic

  • Theses
  • Journals
  • Lab Reports
📈

Business

  • ROI Reports
  • Market Analysis
  • Board Decks

بانک تمرین

3 تمرین‌ها
Complete the sentence with the correct form of the phrase. جای خالی B2

The research paper was rejected because there were no ________.

✓ درسته! ✗ نه دقیقاً. پاسخ صحیح: statistical tests included

The past participle 'included' is required to describe the state of the paper.

Which sentence uses the phrase in the most appropriate register? Choose C1

Choose the best option:

✓ درسته! ✗ نه دقیقاً. پاسخ صحیح: The clinical trial results, with all statistical tests included, show the drug is safe.

This phrase is best suited for formal, evidence-based contexts like clinical trials.

Match the context with the reason for using 'statistical tests included'. Match B1

هر مورد سمت چپ را با جفتش در سمت راست مطابقت دهید:

✓ درسته! ✗ نه دقیقاً. پاسخ صحیح: Academic Paper - To prove significance

In academia, the primary goal is proving statistical significance.

🎉 امتیاز: /3

آموزش‌های ویدیویی

آموزش‌های ویدیویی این عبارت را در یوتیوب پیدا کنید.

سوالات متداول

3 سوال

No, it means they are mathematically probable. Statistics is about managing uncertainty, not eliminating it.

Yes, especially for roles in finance, marketing, or science. It shows you value evidence.

Usually plural ('tests') because a rigorous study almost always uses more than one type of calculation.

عبارات مرتبط

🔗

statistically significant

builds on

The result is unlikely to have occurred by chance.

🔗

empirical evidence

similar

Information acquired by observation or experimentation.

🔗

data-driven

similar

Decisions made based on data analysis.

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