C1 Expression Very Formal 8 min read

Der Tucker-Lewis-Index TLI weist einen Wert von

The Tucker-Lewis Index TLI shows a value of

Literally: The Tucker-Lewis-Index TLI points a value of

In 15 Seconds

  • Used to report statistical results in academic papers.
  • Extremely formal and professional tone (C1 level).
  • Requires the separable verb 'aufweisen' for grammatical completeness.
  • Commonly used in psychology, sociology, and data science.

Meaning

This phrase is a professional way to report the 'Tucker-Lewis Index' (TLI) in a scientific study. It basically tells your audience how well your mathematical theory matches the real-world data you collected. If the number is high, your model is doing a great job; if it's low, you might need to go back to the drawing board.

Key Examples

3 of 10
1

Writing the results section of a Master's thesis

Der Tucker-Lewis-Index TLI weist einen Wert von 0,96 auf.

The Tucker-Lewis-Index TLI shows a value of 0.96.

<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>
2

Presenting data in a university seminar

Wie Sie sehen können, weist der Tucker-Lewis-Index TLI einen Wert von 0,92 auf.

As you can see, the Tucker-Lewis-Index TLI shows a value of 0.92.

<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

A PhD student celebrating on Academic Twitter (X)

Endlich! Mein Modell steht und der Tucker-Lewis-Index TLI weist einen Wert von 0,98 auf! 🚀

Finally! My model is ready and the Tucker-Lewis-Index TLI shows a value of 0.98! 🚀

<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>
🌍

Cultural Background

German universities emphasize 'Wissenschaftssprache', a specific register that avoids the first person ('I' or 'We') and uses formal verbs like 'aufweisen' to maintain objectivity. Many statistical terms like TLI are kept in English but integrated into German grammar, showing the influence of American psychometrics on German social sciences. In Swiss universities (e.g., ETH Zurich), precision in reporting is paramount. Using the exact canonical form is often a requirement for passing grades in methodology courses. Austrian academic writing tends to be slightly more traditional and formal than in northern Germany, making 'aufweisen' the undisputed choice over 'liegen bei'.

🎯

The 'Auf' Rule

Always check the end of your sentence. If you started with 'weist', you MUST end with 'auf' if you're using 'aufweisen'.

⚠️

Decimal Commas

In German-only contexts, use a comma (0,95). In international journals, a period (0.95) is okay.

In 15 Seconds

  • Used to report statistical results in academic papers.
  • Extremely formal and professional tone (C1 level).
  • Requires the separable verb 'aufweisen' for grammatical completeness.
  • Commonly used in psychology, sociology, and data science.

What It Means

Your computer just finished running a complex Structural Equation Model (SEM) after three hours of spinning fans. You are looking at a screen full of numbers. One of those numbers is the Tucker-Lewis-Index, or TLI. This little number is like a quality inspector for your math. It compares your proposed model to a 'null model' that assumes nothing is related. Imagine you built a Lego castle. The TLI tells the world if your castle actually looks like a castle or just a pile of random bricks. In the world of German academia, we use this specific phrase to announce that verdict. It carries the weight of scientific authority. It’s not just a guess; it’s a calculated fit. When you say this, you are telling other researchers that your theory has been tested and measured. It’s the linguistic equivalent of a scientist in a white coat pointing to a very important chart.

How To Use It

You will almost exclusively find this phrase in the 'Results' section of a research paper. It follows a very rigid structure. You start with the subject: Der Tucker-Lewis-Index TLI. Always include the abbreviation TLI in parentheses or right after the name. Then comes the verb weist. This is a professional way to say 'shows' or 'exhibits.' It’s much more formal than simply saying hat (has). After the verb, you add einen Wert von. This sets the stage for the number. In German, we use a comma for decimals instead of a point. So, a TLI of 0.95 becomes 0,95. Usually, you don't stop there. Most writers end the sentence with the word auf. This completes the separable verb aufweisen. Without the auf, the sentence feels like a cliffhanger in a bad soap opera. Everyone is waiting for the resolution! Use it when you want to sound like a serious researcher who knows their way around a spreadsheet.

Formality & Register

This phrase is as formal as a tuxedo at a gala. You would never use it while texting your mom about what's for dinner. It belongs in the world of 'Bildungssprache' (educational/academic language). It’s the language of journals, theses, and high-level technical reports. If you use this in a casual conversation at a bar, your friends might check if you’re having a statistical stroke. However, in a job interview for a data science position, it’s pure gold. It shows you understand the nuances of reporting results. It’s a 'C1' level phrase because it requires precision. You aren't just communicating an idea; you are following a strict professional code. It's like the difference between saying 'The car is fast' and 'The vehicle exhibits a high velocity.' Both are true, but one gets you a PhD.

Real-Life Examples

Imagine you are writing your Master's thesis in Psychology. You just found out your model for 'happiness' is actually accurate. You type: Der Tucker-Lewis-Index TLI weist einen Wert von 0,97 auf. Your professor nods in approval. Or maybe you are presenting at a Zoom conference. Your slide shows a path diagram. You say the phrase out loud to guide your audience through the statistics. In a peer-review comment, a researcher might write: Der berichtete Tucker-Lewis-Index TLI weist einen Wert von lediglich 0,82 auf, was auf eine unzureichende Modellpassung hindeutet. That’s a polite academic way of saying 'Your math is a bit messy, friend.' You might even see it in a LinkedIn post from a data analyst showing off their latest project results. Even in a world of AI and quick summaries, this level of precision remains the standard for trust.

When To Use It

Use this phrase when you are writing a formal report or a thesis. It is perfect for the 'Methodology' or 'Results' chapters. If you are defending your dissertation, this is your bread and butter. It’s also great for professional emails to a research team. Use it when you want to be 100% clear about a specific statistical metric. It is also common in textbooks that explain how to perform factor analysis. If you are translating a study from English to German, this is the standard 'mapping' for 'The TLI shows a value of.' It’s the safe, correct, and expected choice. Think of it as the 'default' setting for reporting fit indices in German social sciences. It’s like using a specific fork for salad—it shows you know the etiquette.

When NOT To Use It

Never use this phrase in a casual WhatsApp group. 'Hey guys, my mood today weist einen Wert von 0,95 auf' will just get you weird emojis. Also, don't use it for things that aren't statistical indices. You wouldn't say 'The pizza weist einen Wert von extra cheese auf.' That’s just being a robot. Avoid it in creative writing or fiction unless your character is a very dry scientist. Also, if you aren't 100% sure what the TLI actually measures, don't throw the phrase around. Statisticians can smell fear (and incorrect reporting) from a mile away. It’s a tool for precision, not for sounding 'smart' without substance. If the context is informal, just say Der TLI liegt bei 0,95 (The TLI is at 0.95). It’s shorter and less stuffy.

Common Mistakes

The most common error is forgetting the 'auf' at the very end of the sentence. In German, aufweisen is a separable verb. If you leave the auf out, the sentence is technically naked. ✗ Der TLI weist einen Wert von 0,90. → ✓ Der TLI weist einen Wert von 0,90 auf. Another mistake is using the wrong article. It is Der Index, so it must be Der Tucker-Lewis-Index. Using Das or Die will make a grammarian cry. Some people also forget the 'n' in einen. Because it's accusative, it has to be einen Wert. ✗ weist ein Wert von is a classic learner trap. Finally, don't confuse TLI with other indices like CFI. Reporting the wrong number with a very confident phrase is a recipe for a retracted paper. Double-check your SPSS or R output before you hit 'save'!

Common Variations

While the main phrase is the gold standard, you might see some cousins. Der TLI liegt bei... (The TLI lies at...) is a bit more relaxed but still professional. You can also say Der TLI beläuft sich auf... (The TLI amounts to...). This sounds very 'accountant-ish' and precise. Another variation is Das Modell zeigt einen TLI von... (The model shows a TLI of...). This shifts the focus from the index to the model itself. In very brief reports, you might just see TLI = 0,95. But if you are writing full sentences, stick to weist... auf. It’s the most elegant way to handle the grammar. Some authors might use beträgt (is/amounts to). Der TLI beträgt 0,95. This is also very common and slightly shorter. Choose the one that fits the rhythm of your paragraph.

Real Conversations

S

Student

Wie beschreibe ich die Modellanpassung in meiner Arbeit? (How do I describe the model fit in my thesis?)
T

Tutor

Ganz einfach. Du schreibst: Der Tucker-Lewis-Index TLI weist einen Wert von 0,95 auf. (Quite simple. You write: The TLI shows a value of 0.95.)
S

Student

Muss das 'auf' am Ende wirklich sein? (Does the 'auf' at the end really have to be there?)
T

Tutor

Ja, unbedingt! Ohne das 'auf' ist der Satz grammatikalisch nicht abgeschlossen. (Yes, absolutely! Without the 'auf', the sentence isn't grammatically closed.)
P

Professor

Ihre Ergebnisse sind beeindruckend. Der TLI weist einen hervorragenden Wert auf. (Your results are impressive. The TLI shows an excellent value.)
C

Colleague

Hast du die neuen Zahlen? (Do you have the new numbers?)
R

Researcher

Ja, der Tucker-Lewis-Index TLI weist einen Wert von 0,92 auf. Wir können zufrieden sein. (Yes, the TLI shows a value of 0.92. We can be satisfied.)

Quick FAQ

Is the TLI the same as the CFI? No, they are related but calculated differently. They often appear together in reports. Can the TLI be over 1.0? Yes, unlike the CFI, the TLI is 'non-normed,' so it can occasionally pop above 1.0. What is a 'good' value? Usually, anything over 0.90 is okay, but 0.95 is the goal for a 'good' fit. Why is it called 'Tucker-Lewis'? It was named after the researchers Ledyard Tucker and Charles Lewis who developed it in 1973. Do I always need the abbreviation? It’s highly recommended for clarity, especially in long papers. Is weist... auf better than ist? Yes, in academic writing, ist is considered a bit too simple or 'lazy.' Aufweisen shows a higher level of German proficiency. Does this phrase work for all indices? Yes, you can swap TLI for CFI or NFI and the grammar stays the same.

Usage Notes

This phrase is strictly for academic and professional reporting. Ensure you use a comma for decimals (0,95) and never forget the 'auf' at the end of the sentence to complete the separable verb 'aufweisen'.

🎯

The 'Auf' Rule

Always check the end of your sentence. If you started with 'weist', you MUST end with 'auf' if you're using 'aufweisen'.

⚠️

Decimal Commas

In German-only contexts, use a comma (0,95). In international journals, a period (0.95) is okay.

💬

Sounding Like a Pro

Using 'aufweisen' makes you sound like a serious researcher. 'Haben' makes you sound like a student.

Examples

10
#1 Writing the results section of a Master's 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>

Der Tucker-Lewis-Index TLI weist einen Wert von 0,96 auf.

The Tucker-Lewis-Index TLI shows a value of 0.96.

This is the most standard, correct way to report the result in a formal paper.

#2 Presenting data in a university seminar
<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>

Wie Sie sehen können, weist der Tucker-Lewis-Index TLI einen Wert von 0,92 auf.

As you can see, the Tucker-Lewis-Index TLI shows a value of 0.92.

A slightly modified version used to guide an audience during a presentation.

#3 A PhD student celebrating on Academic Twitter (X)
<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>

Endlich! Mein Modell steht und der Tucker-Lewis-Index TLI weist einen Wert von 0,98 auf! 🚀

Finally! My model is ready and the Tucker-Lewis-Index TLI shows a value of 0.98! 🚀

Mixing a formal phrase with an informal context to show relief and success.

#4 Discussing a study with a colleague over coffee
<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>

Ich habe die Analyse wiederholt, und der TLI weist jetzt einen Wert von 0,94 auf.

I repeated the analysis, and the TLI now shows a value of 0.94.

Using the abbreviation for a slightly quicker but still professional exchange.

#5 A peer-reviewer giving feedback on a journal submission
<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>

Der Tucker-Lewis-Index TLI weist lediglich einen Wert von 0,85 auf, was kritisch ist.

The Tucker-Lewis-Index TLI shows only a value of 0.85, which is critical.

Using 'lediglich' (merely) to highlight a disappointing statistical result.

#6 Emailing a professor about preliminary results
<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 der ersten Stichprobe weist der Tucker-Lewis-Index TLI einen Wert von 0,91 auf.

In the first sample, the Tucker-Lewis-Index TLI shows a value of 0.91.

Clear, concise, and respectful reporting of data.

#7 Explaining the concept in a statistics textbook
<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 diesem Beispiel weist der Tucker-Lewis-Index TLI einen Wert von genau 1,00 auf.

In this example, the Tucker-Lewis-Index TLI shows a value of exactly 1.00.

Using 'genau' (exactly) to emphasize a perfect model fit.

Learner error: Forgetting the separable prefix 'auf' Common Mistake
<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>

✗ Der Tucker-Lewis-Index TLI weist einen Wert von 0,95. → ✓ Der Tucker-Lewis-Index TLI weist einen Wert von 0,95 auf.

The TLI shows a value of 0.95.

Without 'auf', the sentence is grammatically incomplete because the verb is 'aufweisen'.

Learner error: Using the wrong case after 'von' Common Mistake
<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>

✗ Der TLI weist ein Wert von 0,90 auf. → ✓ Der TLI weist einen Wert von 0,90 auf.

The TLI shows a value of 0.90.

'Wert' is masculine and is the object here, so it must be 'einen Wert'.

#10 A humorous take on a bad research day
<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>

Mein Kaffee weist einen Wert von 0,00 auf, genau wie mein TLI heute Morgen.

My coffee shows a value of 0.00, just like my TLI this morning.

A joke among scientists using formal language for a trivial/sad situation.

Test Yourself

Füllen Sie die Lücke mit dem richtigen Verbteil aus.

Der Tucker-Lewis-Index TLI weist einen Wert von 0,95 ___.

✓ Correct! ✗ Not quite. Correct answer: auf

Das Verb 'aufweisen' ist trennbar. Der Präfix 'auf' steht am Ende des Satzes.

Welcher Artikel ist korrekt für 'Index'?

___ Tucker-Lewis-Index TLI weist einen Wert von 0,95 auf.

✓ Correct! ✗ Not quite. Correct answer: Der

'Index' ist ein maskulines Nomen im Nominativ.

In welcher Situation ist dieser Satz am besten geeignet?

Satz: 'Der Tucker-Lewis-Index TLI weist einen Wert von 0,95 auf.'

✓ Correct! ✗ Not quite. Correct answer: Im Ergebnisteil einer wissenschaftlichen Arbeit.

Dies ist eine hochformale statistische Berichtsform.

Vervollständigen Sie den Dialog.

Professor: 'Wie hoch ist die Modellgüte?' Student: 'Gut, der Tucker-Lewis-Index TLI weist einen ___ von 0,98 auf.'

✓ Correct! ✗ Not quite. Correct answer: Wert

In der Statistik spricht man von einem 'Wert' (value).

🎉 Score: /4

Visual Learning Aids

Practice Bank

4 exercises
Füllen Sie die Lücke mit dem richtigen Verbteil aus. Fill Blank B2

Der Tucker-Lewis-Index TLI weist einen Wert von 0,95 ___.

✓ Correct! ✗ Not quite. Correct answer: auf

Das Verb 'aufweisen' ist trennbar. Der Präfix 'auf' steht am Ende des Satzes.

Welcher Artikel ist korrekt für 'Index'? Choose A2

___ Tucker-Lewis-Index TLI weist einen Wert von 0,95 auf.

✓ Correct! ✗ Not quite. Correct answer: Der

'Index' ist ein maskulines Nomen im Nominativ.

In welcher Situation ist dieser Satz am besten geeignet? situation_matching B1

Satz: 'Der Tucker-Lewis-Index TLI weist einen Wert von 0,95 auf.'

✓ Correct! ✗ Not quite. Correct answer: Im Ergebnisteil einer wissenschaftlichen Arbeit.

Dies ist eine hochformale statistische Berichtsform.

Vervollständigen Sie den Dialog. dialogue_completion B1

Professor: 'Wie hoch ist die Modellgüte?' Student: 'Gut, der Tucker-Lewis-Index TLI weist einen ___ von 0,98 auf.'

✓ Correct! ✗ Not quite. Correct answer: Wert

In der Statistik spricht man von einem 'Wert' (value).

🎉 Score: /4

Frequently Asked Questions

10 questions

Yes, but it's less formal. 'Zeigt einen Wert von' is acceptable in presentations but 'weist ... auf' is better for writing.

It is masculine because 'Index' is masculine ({der|m} Index).

You say: 'Der TLI weist einen Wert von 1,00 auf.'

No, it can also be used for qualities, e.g., 'Das Modell weist Mängel auf' (The model has flaws).

It's named after the statisticians Ledyard Tucker and Charles Lewis who proposed it in 1973.

Usually, you introduce it once with both, then just use 'TLI' for the rest of the paper.

In German academia, a TLI > 0.95 is usually considered 'gut' or 'exzellent'.

In casual speech, yes. In a thesis, it's too simple.

Yes, it conjugates like 'weisen' (weist, wies, hat gewiesen).

Yes, when used in this sense of 'exhibiting' a value.

Related Phrases

🔗

Der Comparative-Fit-Index CFI liegt bei

similar

The CFI is at...

🔗

Die Modellgüte ist unzureichend

contrast

The model fit is insufficient.

🔗

Statistisch signifikant

builds on

Statistically significant.

🔗

Die Anpassungsgüte aufweisen

specialized form

To exhibit the fit quality.

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